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648970752 = 2931133739
BaseRepresentation
bin100110101011101…
…000001000000000
31200020011010111210
4212223220020000
52312114031002
6144221410120
722040106003
oct4653501000
91606133453
10648970752
11303366371
12161409940
13a45b3681
146229353a
153be9296c
hex26ae8200

648970752 has 80 divisors (see below), whose sum is σ = 1744665120. Its totient is φ = 214351872.

The previous prime is 648970741. The next prime is 648970759. The reversal of 648970752 is 257079846.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (648970759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171699 + ... + 175437.

It is an arithmetic number, because the mean of its divisors is an integer number (21808314).

Almost surely, 2648970752 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 648970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872332560).

648970752 is an abundant number, since it is smaller than the sum of its proper divisors (1095694368).

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

648970752 is a wasteful number, since it uses less digits than its factorization.

648970752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 648970752 is about 25474.9043570334. The cubic root of 648970752 is about 865.7816459195.

The spelling of 648970752 in words is "six hundred forty-eight million, nine hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1356 1536 1808 2712 3616 3739 5424 7232 7478 10848 11217 14464 14956 21696 22434 28928 29912 43392 44868 57856 59824 86784 89736 119648 173568 179472 239296 358944 422507 478592 717888 845014 957184 1267521 1435776 1690028 1914368 2535042 2871552 3380056 5070084 5743104 6760112 10140168 13520224 20280336 27040448 40560672 54080896 81121344 108161792 162242688 216323584 324485376 648970752