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40901616 = 2432740577
BaseRepresentation
bin1001110000000…
…1101111110000
32211222000110200
42130001233300
540432322431
64020355200
71004441460
oct234015760
984860420
1040901616
11210a6a98
1211845b00
138621052
145609ba0
1538cdee6
hex2701bf0

40901616 has 60 divisors (see below), whose sum is σ = 130823472. Its totient is φ = 11685888.

The previous prime is 40901611. The next prime is 40901621. The reversal of 40901616 is 61610904.

40901616 is a `hidden beast` number, since 40 + 9 + 0 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (40901611) and next prime (40901621).

It is a super-2 number, since 2×409016162 = 3345884382822912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40901616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40901611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19281 + ... + 21296.

Almost surely, 240901616 is an apocalyptic number.

It is an amenable number.

40901616 is an abundant number, since it is smaller than the sum of its proper divisors (89921856).

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

40901616 is a wasteful number, since it uses less digits than its factorization.

40901616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40598 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 40901616 is about 6395.4371234498. The cubic root of 40901616 is about 344.5456906052.

The spelling of 40901616 in words is "forty million, nine hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 40577 81154 121731 162308 243462 284039 324616 365193 486924 568078 649232 730386 852117 973848 1136156 1460772 1704234 1947696 2272312 2556351 2921544 3408468 4544624 5112702 5843088 6816936 10225404 13633872 20450808 40901616