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648054008 = 237217313137
BaseRepresentation
bin100110101000001…
…000010011111000
31200011102112222022
4212220020103320
52311400212013
6144150014012
722026240200
oct4650102370
91604375868
10648054008
1130289a628
12161047308
13a4352314
14620d5400
153bd61008
hex26a084f8

648054008 has 96 divisors (see below), whose sum is σ = 1545402240. Its totient is φ = 252887040.

The previous prime is 648053999. The next prime is 648054031. The reversal of 648054008 is 800450846.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205016 + ... + 208152.

It is an arithmetic number, because the mean of its divisors is an integer number (16097940).

Almost surely, 2648054008 is an apocalyptic number.

648054008 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648054008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772701120).

648054008 is an abundant number, since it is smaller than the sum of its proper divisors (897348232).

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

648054008 is a wasteful number, since it uses less digits than its factorization.

648054008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 648054008 is about 25456.9049179196. The cubic root of 648054008 is about 865.3737825705.

The spelling of 648054008 in words is "six hundred forty-eight million, fifty-four thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 49 56 62 68 98 119 124 136 196 217 238 248 392 434 476 527 833 868 952 1054 1519 1666 1736 2108 3038 3137 3332 3689 4216 6076 6274 6664 7378 12152 12548 14756 21959 25096 25823 29512 43918 51646 53329 87836 97247 103292 106658 153713 175672 194494 206584 213316 307426 373303 388988 426632 614852 680729 746606 777976 1229704 1361458 1493212 1653199 2613121 2722916 2986424 3306398 4765103 5226242 5445832 6612796 9530206 10452484 11572393 13225592 19060412 20904968 23144786 38120824 46289572 81006751 92579144 162013502 324027004 648054008