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64413990 = 232519139271
BaseRepresentation
bin1111010110111…
…0000100100110
311111012120101100
43311232010212
5112442221430
610220340530
71411336614
oct365560446
9144176340
1064413990
11333a6203
12196a4746
13104640b4
1487aa6b4
1559c5960
hex3d6e126

64413990 has 96 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 16096320.

The previous prime is 64413953. The next prime is 64413997. The reversal of 64413990 is 9931446.

64413990 is a `hidden beast` number, since 644 + 1 + 3 + 9 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64413997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237555 + ... + 237825.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 264413990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64413990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

64413990 is an abundant number, since it is smaller than the sum of its proper divisors (113800410).

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

64413990 is a wasteful number, since it uses less digits than its factorization.

64413990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 64413990 is about 8025.8326670820. The cubic root of 64413990 is about 400.8606261452.

The spelling of 64413990 in words is "sixty-four million, four hundred thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 139 171 190 271 278 285 342 417 542 570 695 813 834 855 1251 1355 1390 1626 1710 2085 2439 2502 2641 2710 4065 4170 4878 5149 5282 6255 7923 8130 10298 12195 12510 13205 15447 15846 23769 24390 25745 26410 30894 37669 39615 46341 47538 51490 75338 77235 79230 92682 113007 118845 154470 188345 226014 231705 237690 339021 376690 463410 565035 678042 715711 1130070 1431422 1695105 2147133 3390210 3578555 4294266 6441399 7157110 10735665 12882798 21471330 32206995 64413990