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64124244 = 223331107179
BaseRepresentation
bin1111010010011…
…1010101010100
311110122211221000
43310213111110
5112403433434
610210223300
71406022102
oct364472524
9143584830
1064124244
1133218548
1219584b30
1310392252
148732c72
155969b99
hex3d27554

64124244 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 20377440.

The previous prime is 64124227. The next prime is 64124251. The reversal of 64124244 is 44242146.

It is a happy number.

64124244 is a `hidden beast` number, since 6 + 412 + 4 + 244 = 666.

It is a super-2 number, since 2×641242442 = 8223837337143072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358147 + ... + 358325.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 264124244 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 64124244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

64124244 is an abundant number, since it is smaller than the sum of its proper divisors (110058156).

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

64124244 is a wasteful number, since it uses less digits than its factorization.

64124244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 64124244 is about 8007.7614849595. The cubic root of 64124244 is about 400.2586743496.

The spelling of 64124244 in words is "sixty-four million, one hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 107 108 124 179 186 214 279 321 358 372 428 537 558 642 716 837 963 1074 1116 1284 1611 1674 1926 2148 2889 3222 3317 3348 3852 4833 5549 5778 6444 6634 9666 9951 11098 11556 13268 16647 19153 19332 19902 22196 29853 33294 38306 39804 49941 57459 59706 66588 76612 89559 99882 114918 119412 149823 172377 179118 199764 229836 299646 344754 358236 517131 593743 599292 689508 1034262 1187486 1781229 2068524 2374972 3562458 5343687 7124916 10687374 16031061 21374748 32062122 64124244