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90273736 = 23731149349
BaseRepresentation
bin1010110000101…
…11011111001000
320021212101021201
411120113133020
5141102224421
612542513544
72144212510
oct530273710
9207771251
1090273736
1146a58aa3
12262958b4
1315919717
14bdbc840
157dd2b91
hex56177c8

90273736 has 64 divisors (see below), whose sum is σ = 201600000. Its totient is φ = 37082880.

The previous prime is 90273713. The next prime is 90273739. The reversal of 90273736 is 63737209.

It is a super-2 number, since 2×902737362 = 16298694822795392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90273695 and 90273704.

It is not an unprimeable number, because it can be changed into a prime (90273739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258490 + ... + 258838.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 290273736 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 90273736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800000).

90273736 is an abundant number, since it is smaller than the sum of its proper divisors (111326264).

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

90273736 is a wasteful number, since it uses less digits than its factorization.

90273736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 90273736 is about 9501.2491810288. The cubic root of 90273736 is about 448.5943562153.

The spelling of 90273736 in words is "ninety million, two hundred seventy-three thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 149 217 248 298 349 434 596 698 868 1043 1192 1396 1736 2086 2443 2792 4172 4619 4886 8344 9238 9772 10819 18476 19544 21638 32333 36952 43276 52001 64666 75733 86552 104002 129332 151466 208004 258664 302932 364007 416008 605864 728014 1456028 1612031 2912056 3224062 6448124 11284217 12896248 22568434 45136868 90273736