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5250772944 = 2433292831481
BaseRepresentation
bin1001110001111100…
…00110111111010000
3111112221020220101000
410320332012333100
541223144213234
62225010142000
7244055555634
oct47076067720
914487226330
105250772944
112254a1947a
121026581900
13658ab2051
1437b4dcdc4
1520ae8e899
hex138f86fd0

5250772944 has 160 divisors (see below), whose sum is σ = 15657033600. Its totient is φ = 1682795520.

The previous prime is 5250772937. The next prime is 5250772991. The reversal of 5250772944 is 4492770525.

5250772944 is a `hidden beast` number, since 52 + 507 + 7 + 2 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5250772944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3544684 + ... + 3546164.

It is an arithmetic number, because the mean of its divisors is an integer number (97856460).

Almost surely, 25250772944 is an apocalyptic number.

5250772944 is a gapful number since it is divisible by the number (54) 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 5250772944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828516800).

5250772944 is an abundant number, since it is smaller than the sum of its proper divisors (10406260656).

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

5250772944 is a wasteful number, since it uses less digits than its factorization.

5250772944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5250772944 is about 72462.2173549775. The cubic root of 5250772944 is about 1738.0986126684.

The spelling of 5250772944 in words is "five billion, two hundred fifty million, seven hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 283 348 432 464 522 566 696 783 849 1044 1132 1392 1481 1566 1698 2088 2264 2547 2962 3132 3396 4176 4443 4528 5094 5924 6264 6792 7641 8207 8886 10188 11848 12528 13329 13584 15282 16414 17772 20376 23696 24621 26658 30564 32828 35544 39987 40752 42949 49242 53316 61128 65656 71088 73863 79974 85898 98484 106632 122256 128847 131312 147726 159948 171796 196968 213264 221589 257694 295452 319896 343592 386541 393936 419123 443178 515388 590904 639792 687184 773082 838246 886356 1030776 1159623 1181808 1257369 1546164 1676492 1772712 2061552 2319246 2514738 3092328 3352984 3545424 3772107 4638492 5029476 6184656 6705968 7544214 9276984 10058952 11316321 12154567 15088428 18553968 20117904 22632642 24309134 30176856 36463701 45265284 48618268 60353712 72927402 90530568 97236536 109391103 145854804 181061136 194473072 218782206 291709608 328173309 437564412 583419216 656346618 875128824 1312693236 1750257648 2625386472 5250772944