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90913392 = 24322692347
BaseRepresentation
bin1010110101100…
…11101001110000
320100001212201200
411122303221300
5141233212032
613004331200
72152515423
oct532635160
9210055650
1090913392
1147355639
1226543b00
1315ab190b
14c1079ba
157eac47c
hex56b3a70

90913392 has 60 divisors (see below), whose sum is σ = 255485880. Its totient is φ = 30178944.

The previous prime is 90913379. The next prime is 90913451. The reversal of 90913392 is 29331909.

It is a super-3 number, since 3×909133923 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37563 + ... + 39909.

It is an arithmetic number, because the mean of its divisors is an integer number (4258098).

Almost surely, 290913392 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 90913392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127742940).

90913392 is an abundant number, since it is smaller than the sum of its proper divisors (164572488).

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

90913392 is a wasteful number, since it uses less digits than its factorization.

90913392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 90913392 is about 9534.8514408983. The cubic root of 90913392 is about 449.6514041014.

The spelling of 90913392 in words is "ninety million, nine hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 2152 2347 2421 3228 4304 4694 4842 6456 7041 9388 9684 12912 14082 18776 19368 21123 28164 37552 38736 42246 56328 84492 112656 168984 337968 631343 1262686 1894029 2525372 3788058 5050744 5682087 7576116 10101488 11364174 15152232 22728348 30304464 45456696 90913392