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2152357248 = 27313142787
BaseRepresentation
bin1000000001001010…
…0101110110000000
312120000001002002010
42000102211312000
513402000412443
6553324252520
7104223510006
oct20022456600
95500032063
102152357248
11a04a49948
125009a1140
13283bc0192
14165bd8a76
15c8e5a733
hex804a5d80

2152357248 has 64 divisors (see below), whose sum is σ = 5760976320. Its totient is φ = 711959040.

The previous prime is 2152357247. The next prime is 2152357253. The reversal of 2152357248 is 8427532512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152357247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28911 + ... + 71697.

It is an arithmetic number, because the mean of its divisors is an integer number (90015255).

Almost surely, 22152357248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880488160).

2152357248 is an abundant number, since it is smaller than the sum of its proper divisors (3608619072).

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

2152357248 is a wasteful number, since it uses less digits than its factorization.

2152357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42935 (or 42923 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 2152357248 is about 46393.5043729184. The cubic root of 2152357248 is about 1291.1344002517.

The spelling of 2152357248 in words is "two billion, one hundred fifty-two million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 42787 50304 85574 128361 171148 256722 342296 513444 684592 1026888 1369184 2053776 2738368 4107552 5476736 5605097 8215104 11210194 16430208 16815291 22420388 33630582 44840776 67261164 89681552 134522328 179363104 269044656 358726208 538089312 717452416 1076178624 2152357248