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40162656 = 2531997227
BaseRepresentation
bin1001100100110…
…1010101100000
32210120110210210
42121031111200
540240201111
63552454120
7665243202
oct231152540
983513723
1040162656
1120741886
121154a340
1384228b1
145496772
1537d50a6
hex264d560

40162656 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 12496896.

The previous prime is 40162643. The next prime is 40162663. The reversal of 40162656 is 65626104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401626562 = 3226077873948672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176815 + ... + 177041.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 240162656 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 40162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

40162656 is an abundant number, since it is smaller than the sum of its proper divisors (72451104).

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

40162656 is a wasteful number, since it uses less digits than its factorization.

40162656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40162656 is about 6337.4013601791. The cubic root of 40162656 is about 342.4581254860.

The spelling of 40162656 in words is "forty million, one hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 97 114 152 194 227 228 291 304 388 454 456 582 608 681 776 908 912 1164 1362 1552 1816 1824 1843 2328 2724 3104 3632 3686 4313 4656 5448 5529 7264 7372 8626 9312 10896 11058 12939 14744 17252 21792 22019 22116 25878 29488 34504 44038 44232 51756 58976 66057 69008 88076 88464 103512 132114 138016 176152 176928 207024 264228 352304 414048 418361 528456 704608 836722 1056912 1255083 1673444 2113824 2510166 3346888 5020332 6693776 10040664 13387552 20081328 40162656