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69383664 = 24327174049
BaseRepresentation
bin1000010001010…
…11010111110000
311211120001111100
410020223113300
5120230234124
610515044400
71501515510
oct410532760
9154501440
1069383664
113618aa79
121b2a0700
13114b412c
149301840
1561581c9
hex422b5f0

69383664 has 120 divisors (see below), whose sum is σ = 235029600. Its totient is φ = 18653184.

The previous prime is 69383651. The next prime is 69383723. The reversal of 69383664 is 46638396.

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 23 ways as a sum of consecutive naturals, for example, 15112 + ... + 19160.

It is an arithmetic number, because the mean of its divisors is an integer number (1958580).

Almost surely, 269383664 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 69383664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117514800).

69383664 is an abundant number, since it is smaller than the sum of its proper divisors (165645936).

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

69383664 is a wasteful number, since it uses less digits than its factorization.

69383664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4078 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 69383664 is about 8329.6857083566. The cubic root of 69383664 is about 410.9153927463.

The spelling of 69383664 in words is "sixty-nine million, three hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4049 4284 5712 8098 8568 12147 16196 17136 24294 28343 32392 36441 48588 56686 64784 68833 72882 85029 97176 113372 137666 145764 170058 194352 206499 226744 255087 275332 291528 340116 412998 453488 481831 510174 550664 583056 619497 680232 825996 963662 1020348 1101328 1238994 1360464 1445493 1651992 1927324 2040696 2477988 2890986 3303984 3854648 4081392 4336479 4955976 5781972 7709296 8672958 9911952 11563944 17345916 23127888 34691832 69383664