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64460480 = 265724111
BaseRepresentation
bin1111010111100…
…1011011000000
311111021221011012
43311321123000
5113000213410
610221340052
71411622300
oct365713300
9144257135
1064460480
1133428127
1219707628
131047c2c6
1487bd600
1559d4605
hex3d796c0

64460480 has 84 divisors (see below), whose sum is σ = 178600608. Its totient is φ = 22095360.

The previous prime is 64460479. The next prime is 64460489. The reversal of 64460480 is 8406446.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (64460489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13625 + ... + 17735.

Almost surely, 264460480 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 64460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89300304).

64460480 is an abundant number, since it is smaller than the sum of its proper divisors (114140128).

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

64460480 is a wasteful number, since it uses less digits than its factorization.

64460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 64460480 is about 8028.7284173772. The cubic root of 64460480 is about 400.9570416852.

The spelling of 64460480 in words is "sixty-four million, four hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 4111 7840 8222 15680 16444 20555 28777 32888 41110 57554 65776 82220 115108 131552 143885 164440 201439 230216 263104 287770 328880 402878 460432 575540 657760 805756 920864 1007195 1151080 1315520 1611512 1841728 2014390 2302160 3223024 4028780 4604320 6446048 8057560 9208640 12892096 16115120 32230240 64460480