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40287904 = 2519234367
BaseRepresentation
bin1001100110101…
…1111010100000
32210210211121121
42121223322200
540303203104
63555302024
7666304306
oct231537240
983724547
1040287904
1120817998
12115aa914
1384678c7
1454ca276
15380c254
hex266bea0

40287904 has 96 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 17563392.

The previous prime is 40287889. The next prime is 40287979. The reversal of 40287904 is 40978204.

It is a happy number.

40287904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40287904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601279 + ... + 601345.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 240287904 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 40287904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

40287904 is an abundant number, since it is smaller than the sum of its proper divisors (50190176).

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

40287904 is a wasteful number, since it uses less digits than its factorization.

40287904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 40287904 is about 6347.2753209547. The cubic root of 40287904 is about 342.8137434485.

The spelling of 40287904 in words is "forty million, two hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 23 32 38 43 46 67 76 86 92 134 152 172 184 268 304 344 368 437 536 608 688 736 817 874 989 1072 1273 1376 1541 1634 1748 1978 2144 2546 2881 3082 3268 3496 3956 5092 5762 6164 6536 6992 7912 10184 11524 12328 13072 13984 15824 18791 20368 23048 24656 26144 29279 31648 37582 40736 46096 49312 54739 58558 66263 75164 92192 109478 117116 132526 150328 218956 234232 265052 300656 437912 468464 530104 601312 875824 936928 1060208 1258997 1751648 2120416 2517994 5035988 10071976 20143952 40287904