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40263264 = 253346601
BaseRepresentation
bin1001100110010…
…1111001100000
32210202120211000
42121211321200
540301411024
63554552000
7666142416
oct231457140
983676730
1040263264
1120800428
1211598600
138459622
1454c12b6
153804cc9
hex2665e60

40263264 has 48 divisors (see below), whose sum is σ = 117437040. Its totient is φ = 13420800.

The previous prime is 40263263. The next prime is 40263277. The reversal of 40263264 is 46236204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×402632642 = 3242260855867392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40263263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22437 + ... + 24164.

It is an arithmetic number, because the mean of its divisors is an integer number (2446605).

Almost surely, 240263264 is an apocalyptic number.

It is an amenable number.

40263264 is an abundant number, since it is smaller than the sum of its proper divisors (77173776).

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

40263264 is a wasteful number, since it uses less digits than its factorization.

40263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46620 (or 46606 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40263264 is about 6345.3340337606. The cubic root of 40263264 is about 342.7438411335.

Adding to 40263264 its reverse (46236204), we get a palindrome (86499468).

The spelling of 40263264 in words is "forty million, two hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 46601 93202 139803 186404 279606 372808 419409 559212 745616 838818 1118424 1258227 1491232 1677636 2236848 2516454 3355272 4473696 5032908 6710544 10065816 13421088 20131632 40263264