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64407084 = 223717233753
BaseRepresentation
bin1111010110110…
…0011000101100
311111012012220120
43311230120230
5112442011314
610220244540
71411310520
oct365543054
9144165816
1064407084
11333a0aa5
12196a0750
1310460c01
1487a7d80
1559c38a9
hex3d6c62c

64407084 has 192 divisors, whose sum is σ = 198567936. Its totient is φ = 15814656.

The previous prime is 64407073. The next prime is 64407149. The reversal of 64407084 is 48070446.

64407084 is a modest number, since divided by 7084 gives 6440 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215202 + ... + 1215254.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 264407084 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 64407084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

64407084 is an abundant number, since it is smaller than the sum of its proper divisors (134160852).

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

64407084 is a wasteful number, since it uses less digits than its factorization.

64407084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 64407084 is about 8025.4024198167. The cubic root of 64407084 is about 400.8462998453.

The spelling of 64407084 in words is "sixty-four million, four hundred seven thousand, eighty-four".