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64812480 = 2635181373
BaseRepresentation
bin1111011100111…
…1010111000000
311111221211000020
43313033113000
5113042444410
610233053440
71414616445
oct367172700
9144854006
1064812480
1133648637
1219857280
13105735a5
1488719cc
155a53a70
hex3dcf5c0

64812480 has 112 divisors (see below), whose sum is σ = 207471264. Its totient is φ = 17141760.

The previous prime is 64812463. The next prime is 64812511. The reversal of 64812480 is 8421846.

It is a hoax number, since the sum of its digits (33) 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 15 ways as a sum of consecutive naturals, for example, 173574 + ... + 173946.

It is an arithmetic number, because the mean of its divisors is an integer number (1852422).

Almost surely, 264812480 is an apocalyptic number.

64812480 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 64812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103735632).

64812480 is an abundant number, since it is smaller than the sum of its proper divisors (142658784).

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

64812480 is a wasteful number, since it uses less digits than its factorization.

64812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 64812480 is about 8050.6198519120. The cubic root of 64812480 is about 401.6855539596.

The spelling of 64812480 in words is "sixty-four million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 373 480 543 724 746 905 960 1086 1119 1448 1492 1810 1865 2172 2238 2715 2896 2984 3620 3730 4344 4476 5430 5595 5792 5968 7240 7460 8688 8952 10860 11190 11584 11936 14480 14920 17376 17904 21720 22380 23872 28960 29840 34752 35808 43440 44760 57920 59680 67513 71616 86880 89520 119360 135026 173760 179040 202539 270052 337565 358080 405078 540104 675130 810156 1012695 1080208 1350260 1620312 2025390 2160416 2700520 3240624 4050780 4320832 5401040 6481248 8101560 10802080 12962496 16203120 21604160 32406240 64812480