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5205887232 = 28371374489
BaseRepresentation
bin1001101100100101…
…11000100100000000
3111102210210110202020
410312102320210000
541130201342412
62220324121440
7243002211540
oct46622704400
914383713666
105205887232
112231651147
121013536280
1364c6c7760
14375577320
1520707518c
hex1364b8900

5205887232 has 144 divisors (see below), whose sum is σ = 17052846720. Its totient is φ = 1372962816.

The previous prime is 5205887191. The next prime is 5205887261. The reversal of 5205887232 is 2327885025.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 32644 + ... + 107132.

Almost surely, 25205887232 is an apocalyptic number.

5205887232 is a gapful number since it is divisible by the number (52) 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 5205887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526423360).

5205887232 is an abundant number, since it is smaller than the sum of its proper divisors (11846959488).

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

5205887232 is a wasteful number, since it uses less digits than its factorization.

5205887232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74528 (or 74514 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5205887232 is about 72151.8345712706. The cubic root of 5205887232 is about 1733.1317782731.

The spelling of 5205887232 in words is "five billion, two hundred five million, eight hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 74489 148978 223467 297956 446934 521423 595912 893868 968357 1042846 1191824 1564269 1787736 1936714 2085692 2383648 2905071 3128538 3575472 3873428 4171384 4767296 5810142 6257076 6778499 7150944 7746856 8342768 9534592 11620284 12514152 13556998 14301888 15493712 16685536 19069184 20335497 23240568 25028304 27113996 28603776 30987424 33371072 40670994 46481136 50056608 54227992 57207552 61974848 66742144 81341988 92962272 100113216 108455984 123949696 133484288 162683976 185924544 200226432 216911968 247899392 325367952 371849088 400452864 433823936 650735904 743698176 867647872 1301471808 1735295744 2602943616 5205887232