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84212576 = 2572431249
BaseRepresentation
bin1010000010011…
…11101101100000
312212110102221022
411001033231200
5133024300301
612204545012
72041536500
oct501175540
9185412838
1084212576
1143599178
1224252168
13145a6936
14b281a00
1575d6d1b
hex504fb60

84212576 has 72 divisors (see below), whose sum is σ = 197505000. Its totient is φ = 35223552.

The previous prime is 84212567. The next prime is 84212599. The reversal of 84212576 is 67521248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66800 + ... + 68048.

It is an arithmetic number, because the mean of its divisors is an integer number (2743125).

Almost surely, 284212576 is an apocalyptic number.

84212576 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84212576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98752500).

84212576 is an abundant number, since it is smaller than the sum of its proper divisors (113292424).

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

84212576 is a wasteful number, since it uses less digits than its factorization.

84212576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1301 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 84212576 is about 9176.7410337222. The cubic root of 84212576 is about 438.3210395559.

The spelling of 84212576 in words is "eighty-four million, two hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 344 392 602 688 784 1204 1249 1376 1568 2107 2408 2498 4214 4816 4996 8428 8743 9632 9992 16856 17486 19984 33712 34972 39968 53707 61201 67424 69944 107414 122402 139888 214828 244804 279776 375949 429656 489608 751898 859312 979216 1503796 1718624 1958432 2631643 3007592 5263286 6015184 10526572 12030368 21053144 42106288 84212576