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64410144 = 2531761647
BaseRepresentation
bin1111010110110…
…1001000100000
311111012101002220
43311231020200
5112442111034
610220311040
71411322451
oct365551040
9144171086
1064410144
11333a3327
12196a2480
1310462416
1487a9128
1559c4749
hex3d6d220

64410144 has 96 divisors (see below), whose sum is σ = 182238336. Its totient is φ = 19845120.

The previous prime is 64410121. The next prime is 64410169. The reversal of 64410144 is 44101446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99229 + ... + 99875.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 264410144 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 64410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91119168).

64410144 is an abundant number, since it is smaller than the sum of its proper divisors (117828192).

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

64410144 is a wasteful number, since it uses less digits than its factorization.

64410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64410144 is about 8025.5930621980. The cubic root of 64410144 is about 400.8526478543.

The spelling of 64410144 in words is "sixty-four million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 68 96 102 122 136 183 204 244 272 366 408 488 544 647 732 816 976 1037 1294 1464 1632 1941 1952 2074 2588 2928 3111 3882 4148 5176 5856 6222 7764 8296 10352 10999 12444 15528 16592 20704 21998 24888 31056 32997 33184 39467 43996 49776 62112 65994 78934 87992 99552 118401 131988 157868 175984 236802 263976 315736 351968 473604 527952 631472 670939 947208 1055904 1262944 1341878 1894416 2012817 2683756 3788832 4025634 5367512 8051268 10735024 16102536 21470048 32205072 64410144