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648865080 = 23345474261
BaseRepresentation
bin100110101011001…
…110010100111000
31200012221202120000
4212223032110320
52312102140310
6144215233000
722036155633
oct4653162470
91605852500
10648865080
113032a3a36
12161378760
13a4577546
1462266c1a
153be714c0
hex26ace538

648865080 has 160 divisors (see below), whose sum is σ = 2227832640. Its totient is φ = 169309440.

The previous prime is 648865039. The next prime is 648865093. The reversal of 648865080 is 80568846.

648865080 is a `hidden beast` number, since 64 + 8 + 86 + 508 + 0 = 666.

648865080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150150 + ... + 154410.

It is an arithmetic number, because the mean of its divisors is an integer number (13923954).

Almost surely, 2648865080 is an apocalyptic number.

648865080 is a gapful number since it is divisible by the number (60) 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 648865080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113916320).

648865080 is an abundant number, since it is smaller than the sum of its proper divisors (1578967560).

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

648865080 is a wasteful number, since it uses less digits than its factorization.

648865080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 648865080 is about 25472.8302314446. The cubic root of 648865080 is about 865.7346515858.

The spelling of 648865080 in words is "six hundred forty-eight million, eight hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 81 90 94 108 120 135 141 162 180 188 216 235 270 282 324 360 376 405 423 470 540 564 648 705 810 846 940 1080 1128 1269 1410 1620 1692 1880 2115 2538 2820 3240 3384 3807 4230 4261 5076 5640 6345 7614 8460 8522 10152 12690 12783 15228 16920 17044 19035 21305 25380 25566 30456 34088 38070 38349 42610 50760 51132 63915 76140 76698 85220 102264 115047 127830 152280 153396 170440 191745 200267 230094 255660 306792 345141 383490 400534 460188 511320 575235 600801 690282 766980 801068 920376 1001335 1150470 1201602 1380564 1533960 1602136 1725705 1802403 2002670 2300940 2403204 2761128 3004005 3451410 3604806 4005340 4601880 4806408 5407209 6008010 6902820 7209612 8010680 9012015 10814418 12016020 13805640 14419224 16221627 18024030 21628836 24032040 27036045 32443254 36048060 43257672 54072090 64886508 72096120 81108135 108144180 129773016 162216270 216288360 324432540 648865080