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64985004 = 223579551
BaseRepresentation
bin1111011111100…
…1011110101100
311112021120200000
43313321132230
5113114010004
610240504300
71416235440
oct367713654
9145246600
1064985004
1133756217
121991b090
1310603c86
1488b8820
155a89c39
hex3df97ac

64985004 has 72 divisors (see below), whose sum is σ = 194707968. Its totient is φ = 18565200.

The previous prime is 64984993. The next prime is 64985017. The reversal of 64985004 is 40058946.

64985004 is a `hidden beast` number, since 64 + 98 + 500 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64985004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2029 + ... + 11579.

Almost surely, 264985004 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 64985004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97353984).

64985004 is an abundant number, since it is smaller than the sum of its proper divisors (129722964).

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

64985004 is a wasteful number, since it uses less digits than its factorization.

64985004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64985004 is about 8061.3276822122. The cubic root of 64985004 is about 402.0416530687.

The spelling of 64985004 in words is "sixty-four million, nine hundred eighty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 9551 19102 28653 38204 57306 66857 85959 114612 133714 171918 200571 257877 267428 343836 401142 515754 601713 773631 802284 1031508 1203426 1547262 1805139 2320893 2406852 3094524 3610278 4641786 5415417 7220556 9283572 10830834 16246251 21661668 32492502 64985004