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83108352 = 29361887
BaseRepresentation
bin1001111010000…
…10001000000000
312210101100020010
410331002020000
5132233431402
612125144520
72026260255
oct475021000
9183340203
1083108352
1142a04598
12239bb140
13142ab152
14b07542c
157469a6c
hex4f42200

83108352 has 80 divisors (see below), whose sum is σ = 225289152. Its totient is φ = 27217920.

The previous prime is 83108323. The next prime is 83108369. The reversal of 83108352 is 25380138.

It is a happy number.

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, 93253 + ... + 94139.

Almost surely, 283108352 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 83108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112644576).

83108352 is an abundant number, since it is smaller than the sum of its proper divisors (142180800).

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

83108352 is an equidigital number, since it uses as much as digits as its factorization.

83108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 83108352 is about 9116.3782282220. The cubic root of 83108352 is about 436.3967994998.

The spelling of 83108352 in words is "eighty-three million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 887 976 1464 1536 1774 1952 2661 2928 3548 3904 5322 5856 7096 7808 10644 11712 14192 15616 21288 23424 28384 31232 42576 46848 54107 56768 85152 93696 108214 113536 162321 170304 216428 227072 324642 340608 432856 454144 649284 681216 865712 1298568 1362432 1731424 2597136 3462848 5194272 6925696 10388544 13851392 20777088 27702784 41554176 83108352