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1252265664 = 26313238593
BaseRepresentation
bin100101010100100…
…0000111011000000
310020021100200112210
41022221000323000
510031040000124
6324132222120
743014040206
oct11251007300
93207320483
101252265664
11592964801
122ab46a940
1316c593c00
14bc457076
1574e11a29
hex4aa40ec0

1252265664 has 84 divisors (see below), whose sum is σ = 3587852616. Its totient is φ = 385302528.

The previous prime is 1252265647. The next prime is 1252265671. The reversal of 1252265664 is 4665622521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13152 + ... + 51744.

Almost surely, 21252265664 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 1252265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793926308).

1252265664 is an abundant number, since it is smaller than the sum of its proper divisors (2335586952).

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

1252265664 is a wasteful number, since it uses less digits than its factorization.

1252265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38634 (or 38611 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 1252265664 is about 35387.3658810599. The cubic root of 1252265664 is about 1077.8677822105.

The spelling of 1252265664 in words is "one billion, two hundred fifty-two million, two hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 38593 77186 115779 154372 231558 308744 463116 501709 617488 926232 1003418 1234976 1505127 1852464 2006836 2469952 3010254 3704928 4013672 6020508 6522217 7409856 8027344 12041016 13044434 16054688 19566651 24082032 26088868 32109376 39133302 48164064 52177736 78266604 96328128 104355472 156533208 208710944 313066416 417421888 626132832 1252265664