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52409860624 = 24116432
BaseRepresentation
bin110000110011110111…
…110000001000010000
312000021112101202221001
4300303313300020100
51324313411014444
640024325111344
73533523315322
oct606367601020
9160245352831
1052409860624
1120255000000
12a1a7b58554
134c330cb964
1427727d9612
15156b2178d4
hexc33df0210

52409860624 has 105 divisors (see below), whose sum is σ = 114356559711. Its totient is φ = 23268648480.

The previous prime is 52409860511. The next prime is 52409860637. The reversal of 52409860624 is 42606890425.

The square root of 52409860624 is 228932.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1218833947 + ... + 1218833989.

Almost surely, 252409860624 is an apocalyptic number.

52409860624 is the 228932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52409860624

52409860624 is an abundant number, since it is smaller than the sum of its proper divisors (61946699087).

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

52409860624 is an frugal number, since it uses more digits than its factorization.

52409860624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 52409860624 in words is "fifty-two billion, four hundred nine million, eight hundred sixty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 172 176 242 344 473 484 688 946 968 1331 1849 1892 1936 2662 3698 3784 5203 5324 7396 7568 10406 10648 14641 14792 20339 20812 21296 29282 29584 40678 41624 57233 58564 81356 83248 114466 117128 161051 162712 223729 228932 234256 322102 325424 447458 457864 629563 644204 894916 915728 1259126 1288408 1771561 1789832 2461019 2518252 2576816 3543122 3579664 4922038 5036504 6925193 7086244 9844076 10073008 13850386 14172488 19688152 27071209 27700772 28344976 39376304 54142418 55401544 76177123 108284836 110803088 152354246 216569672 297783299 304708492 433139344 595566598 609416984 1191133196 1218833968 2382266392 3275616289 4764532784 6551232578 13102465156 26204930312 52409860624