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40374828 = 223313149193
BaseRepresentation
bin1001101000000…
…1001000101100
32210222020212000
42122001020230
540313443303
64001212300
71000115604
oct232011054
983866760
1040374828
112087722a
1211631090
138498340
14550dc04
153827da3
hex268122c

40374828 has 96 divisors (see below), whose sum is σ = 114072000. Its totient is φ = 12275712.

The previous prime is 40374827. The next prime is 40374853. The reversal of 40374828 is 82847304.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40374792 and 40374801.

It is not an unprimeable number, because it can be changed into a prime (40374823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209100 + ... + 209292.

It is an arithmetic number, because the mean of its divisors is an integer number (1188250).

Almost surely, 240374828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40374828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57036000).

40374828 is an abundant number, since it is smaller than the sum of its proper divisors (73697172).

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

40374828 is a wasteful number, since it uses less digits than its factorization.

40374828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40374828 is about 6354.1189790560. The cubic root of 40374828 is about 343.0601146382.

The spelling of 40374828 in words is "forty million, three hundred seventy-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 149 156 193 234 298 351 386 447 468 579 596 702 772 894 1158 1341 1404 1737 1788 1937 2316 2509 2682 3474 3874 4023 5018 5211 5364 5811 6948 7527 7748 8046 10036 10422 11622 15054 16092 17433 20844 22581 23244 28757 30108 34866 45162 52299 57514 67743 69732 86271 90324 104598 115028 135486 172542 209196 258813 270972 345084 373841 517626 747682 776439 1035252 1121523 1495364 1552878 2243046 3105756 3364569 4486092 6729138 10093707 13458276 20187414 40374828