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40124928 = 293151173
BaseRepresentation
bin1001100100010…
…0001000000000
32210111120001110
42121010020000
540232444203
63552003320
7665025204
oct231041000
983446043
1040124928
11207164a8
1211530540
13840b67c
145486b04
1537c8d03
hex2644200

40124928 has 80 divisors (see below), whose sum is σ = 108225216. Its totient is φ = 13209600.

The previous prime is 40124921. The next prime is 40124957. The reversal of 40124928 is 82942104.

It is a super-2 number, since 2×401249282 = 3220019694010368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40124895 and 40124904.

It is not an unprimeable number, because it can be changed into a prime (40124921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231850 + ... + 232022.

Almost surely, 240124928 is an apocalyptic number.

40124928 is a gapful number since it is divisible by the number (48) 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 40124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54112608).

40124928 is an abundant number, since it is smaller than the sum of its proper divisors (68100288).

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

40124928 is a wasteful number, since it uses less digits than its factorization.

40124928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 40124928 is about 6334.4240464307. The cubic root of 40124928 is about 342.3508591078.

The spelling of 40124928 in words is "forty million, one hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 173 192 256 302 346 384 453 512 519 604 692 768 906 1038 1208 1384 1536 1812 2076 2416 2768 3624 4152 4832 5536 7248 8304 9664 11072 14496 16608 19328 22144 26123 28992 33216 38656 44288 52246 57984 66432 77312 78369 88576 104492 115968 132864 156738 208984 231936 265728 313476 417968 626952 835936 1253904 1671872 2507808 3343744 5015616 6687488 10031232 13374976 20062464 40124928