Search a number
-
+
537828864 = 2931743479
BaseRepresentation
bin100000000011101…
…001111000000000
31101111000112111120
4200003221320000
52100141010424
6125211312240
716220320116
oct4003517000
91344015446
10537828864
11256654871
1213014b680
138756b641
1451601ab6
153233ba79
hex200e9e00

537828864 has 160 divisors (see below), whose sum is σ = 1555614720. Its totient is φ = 164462592.

The previous prime is 537828853. The next prime is 537828901. The reversal of 537828864 is 468828735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2580480) is a multiple of the sum of its prime factors (560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122577 + ... + 1123055.

It is an arithmetic number, because the mean of its divisors is an integer number (9722592).

Almost surely, 2537828864 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 537828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

537828864 is an abundant number, since it is smaller than the sum of its proper divisors (1017785856).

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

537828864 is a wasteful number, since it uses less digits than its factorization.

537828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 537828864 is about 23191.1376176332. The cubic root of 537828864 is about 813.2324542685.

The spelling of 537828864 in words is "five hundred thirty-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 479 512 516 544 688 731 768 816 958 1032 1088 1376 1437 1462 1536 1632 1916 2064 2176 2193 2752 2874 2924 3264 3832 4128 4352 4386 5504 5748 5848 6528 7664 8143 8256 8704 8772 11008 11496 11696 13056 15328 16286 16512 17544 20597 22016 22992 23392 24429 26112 30656 32572 33024 35088 41194 45984 46784 48858 61312 61791 65144 66048 70176 82388 91968 93568 97716 122624 123582 130288 140352 164776 183936 187136 195432 245248 247164 260576 280704 329552 350149 367872 374272 390864 494328 521152 561408 659104 700298 735744 781728 988656 1042304 1050447 1122816 1318208 1400596 1563456 1977312 2084608 2100894 2636416 2801192 3126912 3954624 4169216 4201788 5272832 5602384 6253824 7909248 8403576 10545664 11204768 12507648 15818496 16807152 22409536 31636992 33614304 44819072 67228608 89638144 134457216 179276288 268914432 537828864