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84293504 = 27679829
BaseRepresentation
bin1010000011000…
…11011110000000
312212121112221122
411001203132000
5133034343004
612210411412
72042324441
oct501433600
9185545848
1084293504
1143643a59
1224290b68
1314604719
14b2a32c8
157600cbe
hex5063780

84293504 has 32 divisors (see below), whose sum is σ = 170452200. Its totient is φ = 41513472.

The previous prime is 84293411. The next prime is 84293507. The reversal of 84293504 is 40539248.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84293507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3662 + ... + 13490.

Almost surely, 284293504 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 84293504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85226100).

84293504 is an abundant number, since it is smaller than the sum of its proper divisors (86158696).

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

84293504 is an equidigital number, since it uses as much as digits as its factorization.

84293504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 84293504 is about 9181.1493833833. The cubic root of 84293504 is about 438.4614029468.

The spelling of 84293504 in words is "eighty-four million, two hundred ninety-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 8576 9829 19658 39316 78632 157264 314528 629056 658543 1258112 1317086 2634172 5268344 10536688 21073376 42146752 84293504