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69284480 = 275293733
BaseRepresentation
bin1000010000100…
…11001010000000
311211101000102212
410020103022000
5120214100410
610513001252
71500623366
oct410231200
9154330385
1069284480
1136122501
121b253228
131147ac45
1492b7636
156138b05
hex4213280

69284480 has 64 divisors (see below), whose sum is σ = 171390600. Its totient is φ = 26750976.

The previous prime is 69284477. The next prime is 69284513. The reversal of 69284480 is 8448296.

It can be written as a sum of positive squares in 4 ways, for example, as 57395776 + 11888704 = 7576^2 + 3448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16694 + ... + 20426.

Almost surely, 269284480 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 69284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85695300).

69284480 is an abundant number, since it is smaller than the sum of its proper divisors (102106120).

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

69284480 is a wasteful number, since it uses less digits than its factorization.

69284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 69284480 is about 8323.7299331490. The cubic root of 69284480 is about 410.7194980849.

The spelling of 69284480 in words is "sixty-nine million, two hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 3733 4640 7466 9280 14932 18560 18665 29864 37330 59728 74660 108257 119456 149320 216514 238912 298640 433028 477824 541285 597280 866056 1082570 1194560 1732112 2165140 2389120 3464224 4330280 6928448 8660560 13856896 17321120 34642240 69284480