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40912416 = 2532142057
BaseRepresentation
bin1001110000010…
…0011000100000
32211222120021200
42130010120200
540433144131
64020521200
71004515116
oct234043040
984876250
1040912416
1121104116
1211850200
138625c3c
14560dab6
1538d22e6
hex2704620

40912416 has 36 divisors (see below), whose sum is σ = 116345502. Its totient is φ = 13637376.

The previous prime is 40912397. The next prime is 40912433. The reversal of 40912416 is 61421904.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 3600 = 6396^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40912416.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70741 + ... + 71316.

Almost surely, 240912416 is an apocalyptic number.

It is an amenable number.

40912416 is an abundant number, since it is smaller than the sum of its proper divisors (75433086).

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

40912416 is a wasteful number, since it uses less digits than its factorization.

40912416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142073 (or 142062 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40912416 is about 6396.2814197000. The cubic root of 40912416 is about 344.5760134983.

It can be divided in two parts, 40912 and 416, that added together give a triangular number (41328 = T287).

The spelling of 40912416 in words is "forty million, nine hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 142057 284114 426171 568228 852342 1136456 1278513 1704684 2272912 2557026 3409368 4545824 5114052 6818736 10228104 13637472 20456208 40912416