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40413912 = 233711191151
BaseRepresentation
bin1001101000101…
…0101011011000
32211001020110120
42122022223120
540321221122
64002113240
71000340550
oct232125330
984036416
1040413912
11208a3630
121164b820
1384b0076
145520160
15383475c
hex268aad8

40413912 has 128 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 9936000.

The previous prime is 40413889. The next prime is 40413941. The reversal of 40413912 is 21931404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34537 + ... + 35687.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 240413912 is an apocalyptic number.

40413912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40413912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

40413912 is an abundant number, since it is smaller than the sum of its proper divisors (92296488).

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

40413912 is a wasteful number, since it uses less digits than its factorization.

40413912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 40413912 is about 6357.1937205028. The cubic root of 40413912 is about 343.1707763055.

The spelling of 40413912 in words is "forty million, four hundred thirteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1151 1254 1463 1596 1672 1848 2302 2508 2926 3192 3453 4389 4604 5016 5852 6906 8057 8778 9208 11704 12661 13812 16114 17556 21869 24171 25322 27624 32228 35112 37983 43738 48342 50644 64456 65607 75966 87476 88627 96684 101288 131214 151932 153083 174952 177254 193368 240559 262428 265881 303864 306166 354508 459249 481118 524856 531762 612332 709016 721677 918498 962236 1063524 1224664 1443354 1683913 1836996 1924472 2127048 2886708 3367826 3673992 5051739 5773416 6735652 10103478 13471304 20206956 40413912