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427374696 = 233717151991
BaseRepresentation
bin11001011110010…
…011100001101000
31002210011212212110
4121132103201220
51333401442241
6110224042320
713406424240
oct3136234150
91083155773
10427374696
111aa272a31
12bb1633a0
136a707648
1440a8cb20
15277be816
hex19793868

427374696 has 128 divisors (see below), whose sum is σ = 1302773760. Its totient is φ = 114048000.

The previous prime is 427374691. The next prime is 427374743. The reversal of 427374696 is 696473724.

It is not an unprimeable number, because it can be changed into a prime (427374691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430761 + ... + 431751.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2427374696 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 427374696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651386880).

427374696 is an abundant number, since it is smaller than the sum of its proper divisors (875399064).

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

427374696 is a wasteful number, since it uses less digits than its factorization.

427374696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 427374696 is about 20673.0427368590. The cubic root of 427374696 is about 753.2450186670.

The spelling of 427374696 in words is "four hundred twenty-seven million, three hundred seventy-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 151 168 204 238 302 357 408 453 476 604 714 906 952 991 1057 1208 1428 1812 1982 2114 2567 2856 2973 3171 3624 3964 4228 5134 5946 6342 6937 7701 7928 8456 10268 11892 12684 13874 15402 16847 17969 20536 20811 23784 25368 27748 30804 33694 35938 41622 50541 53907 55496 61608 67388 71876 83244 101082 107814 117929 134776 143752 149641 166488 202164 215628 235858 299282 353787 404328 431256 448923 471716 598564 707574 897846 943432 1047487 1197128 1415148 1795692 2094974 2543897 2830296 3142461 3591384 4189948 5087794 6284922 7631691 8379896 10175588 12569844 15263382 17807279 20351176 25139688 30526764 35614558 53421837 61053528 71229116 106843674 142458232 213687348 427374696