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469272864 = 25323283751
BaseRepresentation
bin11011111110001…
…000100100100000
31012201000112100110
4123332020210200
51430113212424
6114322051320
714425516314
oct3376104440
91181015313
10469272864
1122098a715
121111a9b40
13762b7168
1446477b44
152b2e8c29
hex1bf88920

469272864 has 96 divisors (see below), whose sum is σ = 1291659264. Its totient is φ = 148896000.

The previous prime is 469272851. The next prime is 469272893. The reversal of 469272864 is 468272964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624489 + ... + 625239.

It is an arithmetic number, because the mean of its divisors is an integer number (13454784).

Almost surely, 2469272864 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 469272864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645829632).

469272864 is an abundant number, since it is smaller than the sum of its proper divisors (822386400).

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

469272864 is a wasteful number, since it uses less digits than its factorization.

469272864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 469272864 is about 21662.7067560820. The cubic root of 469272864 is about 777.0968476119.

The spelling of 469272864 in words is "four hundred sixty-nine million, two hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 283 368 552 566 736 751 849 1104 1132 1502 1698 2208 2253 2264 3004 3396 4506 4528 6008 6509 6792 9012 9056 12016 13018 13584 17273 18024 19527 24032 26036 27168 34546 36048 39054 51819 52072 69092 72096 78108 103638 104144 138184 156216 207276 208288 212533 276368 312432 414552 425066 552736 624864 637599 829104 850132 1275198 1658208 1700264 2550396 3400528 4888259 5100792 6801056 9776518 10201584 14664777 19553036 20403168 29329554 39106072 58659108 78212144 117318216 156424288 234636432 469272864