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40138416 = 243430971
BaseRepresentation
bin1001100100011…
…1011010110000
32210112020120000
42121013122300
540233412131
63552150000
7665112423
oct231073260
983466500
1040138416
112072564a
1211538300
138414856
14548b9ba
1537ccce6
hex26476b0

40138416 has 50 divisors (see below), whose sum is σ = 116175972. Its totient is φ = 13379040.

The previous prime is 40138409. The next prime is 40138421. The reversal of 40138416 is 61483104.

It is a super-2 number, since 2×401384162 = 3222184877978112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40138416.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14190 + ... + 16781.

Almost surely, 240138416 is an apocalyptic number.

It is an amenable number.

40138416 is an abundant number, since it is smaller than the sum of its proper divisors (76037556).

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

40138416 is a wasteful number, since it uses less digits than its factorization.

40138416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30991 (or 30976 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40138416 is about 6335.4886157265. The cubic root of 40138416 is about 342.3892152395.

The spelling of 40138416 in words is "forty million, one hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 30971 61942 92913 123884 185826 247768 278739 371652 495536 557478 743304 836217 1114956 1486608 1672434 2229912 2508651 3344868 4459824 5017302 6689736 10034604 13379472 20069208 40138416