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84368512 = 2719113307
BaseRepresentation
bin1010000011101…
…01110010000000
312212202100211201
411001311302000
5133044243022
612212150544
72043056224
oct501656200
9185670751
1084368512
1143695348
1224308454
131462c8c7
14b2c2784
157618127
hex5075c80

84368512 has 64 divisors (see below), whose sum is σ = 179071200. Its totient is φ = 39481344.

The previous prime is 84368491. The next prime is 84368579. The reversal of 84368512 is 21586348.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274663 + ... + 274969.

Almost surely, 284368512 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 84368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535600).

84368512 is an abundant number, since it is smaller than the sum of its proper divisors (94702688).

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

84368512 is a wasteful number, since it uses less digits than its factorization.

84368512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 84368512 is about 9185.2333666598. The cubic root of 84368512 is about 438.5914183536.

The spelling of 84368512 in words is "eighty-four million, three hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 128 152 226 304 307 452 608 614 904 1216 1228 1808 2147 2432 2456 3616 4294 4912 5833 7232 8588 9824 11666 14464 17176 19648 23332 34352 34691 39296 46664 68704 69382 93328 137408 138764 186656 274816 277528 373312 555056 659129 746624 1110112 1318258 2220224 2636516 4440448 5273032 10546064 21092128 42184256 84368512