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256274148 = 2231331197269
BaseRepresentation
bin11110100011001…
…10111011100100
3122212020002001010
433101212323210
51011101233043
641232502220
76231202644
oct1721467344
9585202033
10256274148
11121729619
12719aa970
134112b410
1426070524
1517773133
hexf466ee4

256274148 has 96 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 75640320.

The previous prime is 256274143. The next prime is 256274153. The reversal of 256274148 is 841472652.

It is an interprime number because it is at equal distance from previous prime (256274143) and next prime (256274153).

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

It is not an unprimeable number, because it can be changed into a prime (256274141) 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, 952558 + ... + 952826.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2256274148 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 256274148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

256274148 is an abundant number, since it is smaller than the sum of its proper divisors (414328092).

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

256274148 is a wasteful number, since it uses less digits than its factorization.

256274148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 256274148 is about 16008.5648326138. The cubic root of 256274148 is about 635.1869976475.

The spelling of 256274148 in words is "two hundred fifty-six million, two hundred seventy-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 197 269 372 394 403 538 591 788 806 807 1076 1182 1209 1612 1614 2364 2418 2561 3228 3497 4836 5122 6107 6994 7683 8339 10244 10491 12214 13988 15366 16678 18321 20982 24428 25017 30732 33356 36642 41964 50034 52993 73284 79391 100068 105986 108407 158782 158979 211972 216814 238173 317564 317958 325221 433628 476346 635916 650442 688909 952692 1300884 1377818 1642783 2066727 2755636 3285566 4133454 4928349 6571132 8266908 9856698 19713396 21356179 42712358 64068537 85424716 128137074 256274148