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64046136 = 23372114951
BaseRepresentation
bin1111010001010…
…0010000111000
311110111212210010
43310110100320
5112343434021
610204421520
71405245300
oct364242070
9143455703
1064046136
11331748a0
12195478a0
131036582b
148712600
155951976
hex3d14438

64046136 has 96 divisors (see below), whose sum is σ = 203230080. Its totient is φ = 16632000.

The previous prime is 64046117. The next prime is 64046153. The reversal of 64046136 is 63164046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (2116980).

Almost surely, 264046136 is an apocalyptic number.

64046136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64046136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101615040).

64046136 is an abundant number, since it is smaller than the sum of its proper divisors (139183944).

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

64046136 is a wasteful number, since it uses less digits than its factorization.

64046136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64046136 is about 8002.8829805265. The cubic root of 64046136 is about 400.0960935799.

The spelling of 64046136 in words is "sixty-four million, forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 4951 6468 9902 12936 14853 19804 29706 34657 39608 54461 59412 69314 103971 108922 118824 138628 163383 207942 217844 242599 277256 326766 381227 415884 435688 485198 653532 727797 762454 831768 970396 1143681 1307064 1455594 1524908 1940792 2287362 2668589 2911188 3049816 4574724 5337178 5822376 8005767 9149448 10674356 16011534 21348712 32023068 64046136