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64486448 = 24133173137
BaseRepresentation
bin1111010111111…
…1110000110000
311111100020202222
43311333300300
5113002031243
610222100212
71412061065
oct365776060
9144306688
1064486448
1133445694
121971a668
131048b080
1487c8c6c
1559dc168
hex3d7fc30

64486448 has 80 divisors (see below), whose sum is σ = 141824256. Its totient is φ = 28200960.

The previous prime is 64486447. The next prime is 64486489. The reversal of 64486448 is 84468446.

Its product of digits (589824) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 64486399 and 64486408.

It is not an unprimeable number, because it can be changed into a prime (64486441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470636 + ... + 470772.

Almost surely, 264486448 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 64486448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70912128).

64486448 is an abundant number, since it is smaller than the sum of its proper divisors (77337808).

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

64486448 is a wasteful number, since it uses less digits than its factorization.

64486448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

The square root of 64486448 is about 8030.3454471150. The cubic root of 64486448 is about 401.0108765030.

The spelling of 64486448 in words is "sixty-four million, four hundred eighty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 73 104 124 137 146 208 248 274 292 403 496 548 584 806 949 1096 1168 1612 1781 1898 2192 2263 3224 3562 3796 4247 4526 6448 7124 7592 8494 9052 10001 14248 15184 16988 18104 20002 28496 29419 33976 36208 40004 55211 58838 67952 80008 110422 117676 130013 160016 220844 235352 260026 310031 441688 470704 520052 620062 883376 1040104 1240124 2080208 2480248 4030403 4960496 8060806 16121612 32243224 64486448