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90193432 = 2371725573
BaseRepresentation
bin1010110000000…
…11111000011000
320021201022010111
411120003320120
5141042142212
612541054104
72143426420
oct530037030
9207638114
1090193432
1146a0372a
1226257334
13158bbcc4
14bd9b480
157db8ea7
hex5603e18

90193432 has 48 divisors (see below), whose sum is σ = 205346160. Its totient is φ = 36374016.

The previous prime is 90193429. The next prime is 90193459. The reversal of 90193432 is 23439109.

It is a junction number, because it is equal to n+sod(n) for n = 90193394 and 90193403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13398 + ... + 18970.

It is an arithmetic number, because the mean of its divisors is an integer number (4278045).

Almost surely, 290193432 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 90193432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102673080).

90193432 is an abundant number, since it is smaller than the sum of its proper divisors (115152728).

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

90193432 is a wasteful number, since it uses less digits than its factorization.

90193432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 90193432 is about 9497.0222701645. The cubic root of 90193432 is about 448.4612993969.

The spelling of 90193432 in words is "ninety million, one hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 5573 8092 11146 16184 22292 39011 44584 78022 94741 156044 189482 312088 378964 663187 757928 1326374 1610597 2652748 3221194 5305496 6442388 11274179 12884776 22548358 45096716 90193432