Search a number
-
+
52430976 = 273413389
BaseRepresentation
bin1100100000000…
…0100010000000
310122122202210000
43020000202000
5101410242401
65111440000
71204440663
oct310004200
9118582700
1052430976
1127661194
1215686000
13ab29a60
146d6b6da
15490a186
hex3200880

52430976 has 160 divisors (see below), whose sum is σ = 168468300. Its totient is φ = 16091136.

The previous prime is 52430971. The next prime is 52430981. The reversal of 52430976 is 67903425.

It is an interprime number because it is at equal distance from previous prime (52430971) and next prime (52430981).

It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 5645376 = 6840^2 + 2376^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 52430976.

It is not an unprimeable number, because it can be changed into a prime (52430971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134590 + ... + 134978.

Almost surely, 252430976 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 52430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84234150).

52430976 is an abundant number, since it is smaller than the sum of its proper divisors (116037324).

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

52430976 is a wasteful number, since it uses less digits than its factorization.

52430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 52430976 is about 7240.9236979822. The cubic root of 52430976 is about 374.2794483677.

The spelling of 52430976 in words is "fifty-two million, four hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 389 416 432 468 576 624 648 702 778 832 864 936 1053 1152 1167 1248 1296 1404 1556 1664 1728 1872 2106 2334 2496 2592 2808 3112 3456 3501 3744 4212 4668 4992 5057 5184 5616 6224 7002 7488 8424 9336 10114 10368 10503 11232 12448 14004 14976 15171 16848 18672 20228 21006 22464 24896 28008 30342 31509 33696 37344 40456 42012 44928 45513 49792 56016 60684 63018 67392 74688 80912 84024 91026 112032 121368 126036 134784 136539 149376 161824 168048 182052 224064 242736 252072 273078 323648 336096 364104 409617 448128 485472 504144 546156 647296 672192 728208 819234 970944 1008288 1092312 1344384 1456416 1638468 1941888 2016576 2184624 2912832 3276936 4033152 4369248 5825664 6553872 8738496 13107744 17476992 26215488 52430976