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557250000 = 24356743
BaseRepresentation
bin100001001101101…
…111010111010000
31102211120020021220
4201031233113100
52120124000000
6131143445040
716544355366
oct4115572720
91384506256
10557250000
1126660a19a
12136756780
138b5ab438
1454019636
1533dc61a0
hex2136f5d0

557250000 has 140 divisors (see below), whose sum is σ = 1801851936. Its totient is φ = 148400000.

The previous prime is 557249981. The next prime is 557250011. The reversal of 557250000 is 52755.

557250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 749629 + ... + 750371.

Almost surely, 2557250000 is an apocalyptic number.

557250000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900925968).

557250000 is an abundant number, since it is smaller than the sum of its proper divisors (1244601936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557250000 is an frugal number, since it uses more digits than its factorization.

557250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 557250000 is about 23606.1432682258. The cubic root of 557250000 is about 822.9056150486.

The spelling of 557250000 in words is "five hundred fifty-seven million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 743 750 1000 1200 1250 1486 1500 1875 2000 2229 2500 2972 3000 3125 3715 3750 4458 5000 5944 6000 6250 7430 7500 8916 9375 10000 11145 11888 12500 14860 15000 15625 17832 18575 18750 22290 25000 29720 30000 31250 35664 37150 37500 44580 46875 50000 55725 59440 62500 74300 75000 89160 92875 93750 111450 125000 148600 150000 178320 185750 187500 222900 250000 278625 297200 371500 375000 445800 464375 557250 743000 750000 891600 928750 1114500 1393125 1486000 1857500 2229000 2321875 2786250 3715000 4458000 4643750 5572500 6965625 7430000 9287500 11145000 11609375 13931250 18575000 22290000 23218750 27862500 34828125 37150000 46437500 55725000 69656250 92875000 111450000 139312500 185750000 278625000 557250000