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256738404 = 223133153089
BaseRepresentation
bin11110100110110…
…00010001100100
3122220002122212210
433103120101210
51011211112104
641250443420
76235145316
oct1723302144
9586078783
10256738404
11121a163aa
1271b93570
1341261820
14261517b6
1517815989
hexf4d8464

256738404 has 48 divisors (see below), whose sum is σ = 665960960. Its totient is φ = 76446720.

The previous prime is 256738379. The next prime is 256738429. The reversal of 256738404 is 404837652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (256738379) and next prime (256738429).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21709 + ... + 31380.

Almost surely, 2256738404 is an apocalyptic number.

It is an amenable number.

256738404 is an abundant number, since it is smaller than the sum of its proper divisors (409222556).

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

256738404 is a wasteful number, since it uses less digits than its factorization.

256738404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53140 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 256738404 is about 16023.0585095356. The cubic root of 256738404 is about 635.5703260559.

The spelling of 256738404 in words is "two hundred fifty-six million, seven hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 53089 106178 159267 212356 318534 637068 690157 1380314 1645759 2070471 2760628 3291518 4140942 4937277 6583036 8281884 9874554 19749108 21394867 42789734 64184601 85579468 128369202 256738404