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64398972 = 22311598269
BaseRepresentation
bin1111010110101…
…0011001111100
311111011210210010
43311222121330
5112441231342
610220143220
71411245051
oct365523174
9144153703
1064398972
11333959a0
1219697b10
131045a301
1487a5028
1559c129c
hex3d6a67c

64398972 has 48 divisors (see below), whose sum is σ = 166723200. Its totient is φ = 19181760.

The previous prime is 64398959. The next prime is 64398973. The reversal of 64398972 is 27989346.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64398973) 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, 3654 + ... + 11922.

It is an arithmetic number, because the mean of its divisors is an integer number (3473400).

Almost surely, 264398972 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 64398972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83361600).

64398972 is an abundant number, since it is smaller than the sum of its proper divisors (102324228).

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

64398972 is a wasteful number, since it uses less digits than its factorization.

64398972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346 (or 8344 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 64398972 is about 8024.8970086849. The cubic root of 64398972 is about 400.8294704248.

The spelling of 64398972 in words is "sixty-four million, three hundred ninety-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 8269 16538 24807 33076 49614 90959 99228 181918 272877 363836 487871 545754 975742 1091508 1463613 1951484 2927226 5366581 5854452 10733162 16099743 21466324 32199486 64398972