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838140264 = 233313298483
BaseRepresentation
bin110001111101010…
…000000101101000
32011102002221022000
4301331100011220
53204030442024
6215100131000
726525034423
oct6175200550
92142087260
10838140264
113a0121205
121b4836a60
131048480b0
147d4569ba
154d8accc9
hex31f50168

838140264 has 64 divisors (see below), whose sum is σ = 2507265600. Its totient is φ = 257888448.

The previous prime is 838140241. The next prime is 838140283. The reversal of 838140264 is 462041838.

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

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, 146434 + ... + 152049.

It is an arithmetic number, because the mean of its divisors is an integer number (39176025).

Almost surely, 2838140264 is an apocalyptic number.

It is an amenable number.

838140264 is an abundant number, since it is smaller than the sum of its proper divisors (1669125336).

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

838140264 is a wasteful number, since it uses less digits than its factorization.

838140264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298511 (or 298501 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 838140264 is about 28950.6522206323. The cubic root of 838140264 is about 942.8419589054.

The spelling of 838140264 in words is "eight hundred thirty-eight million, one hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 298483 596966 895449 1193932 1790898 2387864 2686347 3581796 3880279 5372694 7163592 7760558 8059041 10745388 11640837 15521116 16118082 21490776 23281674 31042232 32236164 34922511 46563348 64472328 69845022 93126696 104767533 139690044 209535066 279380088 419070132 838140264