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93052416 = 293292089
BaseRepresentation
bin1011000101111…
…01111000000000
320111002112220210
411202331320000
5142310134131
613122234120
72206634562
oct542757000
9214075823
1093052416
1148586726
12271b5940
1316380402
14c503332
158281146
hex58bde00

93052416 has 80 divisors (see below), whose sum is σ = 256568400. Its totient is φ = 29933568.

The previous prime is 93052403. The next prime is 93052417. The reversal of 93052416 is 61425039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93052417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43500 + ... + 45588.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 293052416 is an apocalyptic number.

93052416 is a gapful number since it is divisible by the number (96) 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 93052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128284200).

93052416 is an abundant number, since it is smaller than the sum of its proper divisors (163515984).

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

93052416 is a wasteful number, since it uses less digits than its factorization.

93052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 93052416 is about 9646.3680211777. The cubic root of 93052416 is about 453.1505914742.

The spelling of 93052416 in words is "ninety-three million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2089 2784 3712 4178 5568 6267 7424 8356 11136 12534 14848 16712 22272 25068 33424 44544 50136 60581 66848 100272 121162 133696 181743 200544 242324 267392 363486 401088 484648 534784 726972 802176 969296 1069568 1453944 1604352 1938592 2907888 3208704 3877184 5815776 7754368 11631552 15508736 23263104 31017472 46526208 93052416