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469753152 = 26311972293
BaseRepresentation
bin11011111111111…
…101110101000000
31012201220221011220
4123333331311000
51430224100102
6114340235040
714432556501
oct3377756500
91181827156
10469753152
11221188550
1211139ba80
137642495b
1446560ba8
152b3911bc
hex1bffdd40

469753152 has 112 divisors (see below), whose sum is σ = 1370453952. Its totient is φ = 140820480.

The previous prime is 469753139. The next prime is 469753153. The reversal of 469753152 is 251357964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469753153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203718 + ... + 206010.

It is an arithmetic number, because the mean of its divisors is an integer number (12236196).

Almost surely, 2469753152 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 469753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685226976).

469753152 is an abundant number, since it is smaller than the sum of its proper divisors (900700800).

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

469753152 is a wasteful number, since it uses less digits than its factorization.

469753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2406 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 469753152 is about 21673.7895163721. The cubic root of 469753152 is about 777.3618697069.

The spelling of 469753152 in words is "four hundred sixty-nine million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 132 176 192 194 264 291 352 388 528 582 704 776 1056 1067 1164 1552 2112 2134 2293 2328 3104 3201 4268 4586 4656 6208 6402 6879 8536 9172 9312 12804 13758 17072 18344 18624 25223 25608 27516 34144 36688 50446 51216 55032 68288 73376 75669 100892 102432 110064 146752 151338 201784 204864 220128 222421 302676 403568 440256 444842 605352 667263 807136 889684 1210704 1334526 1614272 1779368 2421408 2446631 2669052 3558736 4842816 4893262 5338104 7117472 7339893 9786524 10676208 14234944 14679786 19573048 21352416 29359572 39146096 42704832 58719144 78292192 117438288 156584384 234876576 469753152