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427052976 = 24379713103
BaseRepresentation
bin11001011101000…
…100111110110000
31002202120112112220
4121131010332300
51333311143401
6110213121040
713403614260
oct3135047660
91082515486
10427052976
111aa073249
12bb029180
136a62408c
1440a077a0
1527759336
hex19744fb0

427052976 has 80 divisors (see below), whose sum is σ = 1273918464. Its totient is φ = 120748032.

The previous prime is 427052933. The next prime is 427052981. The reversal of 427052976 is 679250724.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 26041 + ... + 39143.

Almost surely, 2427052976 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 427052976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636959232).

427052976 is an abundant number, since it is smaller than the sum of its proper divisors (846865488).

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

427052976 is a wasteful number, since it uses less digits than its factorization.

427052976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 427052976 is about 20665.2601241794. The cubic root of 427052976 is about 753.0559614429.

The spelling of 427052976 in words is "four hundred twenty-seven million, fifty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 13103 16296 26206 32592 39309 52412 78618 91721 104824 157236 183442 209648 275163 314472 366884 550326 628944 733768 1100652 1270991 1467536 2201304 2541982 3812973 4402608 5083964 7625946 8896937 10167928 15251892 17793874 20335856 26690811 30503784 35587748 53381622 61007568 71175496 106763244 142350992 213526488 427052976