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40256268 = 223132111223
BaseRepresentation
bin1001100110010…
…0001100001100
32210202020012220
42121210030030
540301200033
63554455340
7666113133
oct231441414
983666186
1040256268
11207a6148
1211594550
1384563a0
1454bc91a
153802bb3
hex266430c

40256268 has 48 divisors (see below), whose sum is σ = 101719296. Its totient is φ = 12317760.

The previous prime is 40256257. The next prime is 40256287. The reversal of 40256268 is 86265204.

It is a super-2 number, since 2×402562682 = 3241134226575648, which contains 22 as substring.

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, 32305 + ... + 33527.

It is an arithmetic number, because the mean of its divisors is an integer number (2119152).

Almost surely, 240256268 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 40256268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50859648).

40256268 is an abundant number, since it is smaller than the sum of its proper divisors (61463028).

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

40256268 is a wasteful number, since it uses less digits than its factorization.

40256268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 40256268 is about 6344.7827385971. The cubic root of 40256268 is about 342.7239886711.

The spelling of 40256268 in words is "forty million, two hundred fifty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 422 633 844 1223 1266 2446 2532 2743 3669 4892 5486 7338 8229 10972 14676 15899 16458 31798 32916 47697 63596 95394 190788 258053 516106 774159 1032212 1548318 3096636 3354689 6709378 10064067 13418756 20128134 40256268