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427482040 = 23529401919
BaseRepresentation
bin11001011110101…
…101101110111000
31002210101100010011
4121132231232320
51333413411130
6110230231304
713410352216
oct3136555670
91083340104
10427482040
111aa336647
12bb1b5534
136a74446b
1440ab9cb6
15277e152a
hex197adbb8

427482040 has 64 divisors (see below), whose sum is σ = 998568000. Its totient is φ = 164505600.

The previous prime is 427482023. The next prime is 427482079. The reversal of 427482040 is 40284724.

It is a junction number, because it is equal to n+sod(n) for n = 427481993 and 427482011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464701 + ... + 465619.

It is an arithmetic number, because the mean of its divisors is an integer number (15602625).

Almost surely, 2427482040 is an apocalyptic number.

427482040 is a gapful number since it is divisible by the number (40) 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 427482040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499284000).

427482040 is an abundant number, since it is smaller than the sum of its proper divisors (571085960).

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

427482040 is a wasteful number, since it uses less digits than its factorization.

427482040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 427482040 is about 20675.6388051252. The cubic root of 427482040 is about 753.3080777464.

The spelling of 427482040 in words is "four hundred twenty-seven million, four hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 401 580 802 919 1160 1604 1838 2005 3208 3676 4010 4595 7352 8020 9190 11629 16040 18380 23258 26651 36760 46516 53302 58145 93032 106604 116290 133255 213208 232580 266510 368519 465160 533020 737038 1066040 1474076 1842595 2948152 3685190 7370380 10687051 14740760 21374102 42748204 53435255 85496408 106870510 213741020 427482040