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90354672 = 24322327281
BaseRepresentation
bin1010110001010…
…11001111110000
320022000111022100
411120223033300
5141112322142
612544340400
72145000462
oct530531760
9208014270
1090354672
1147003891
1226314700
1315947505
14c000132
157debb4c
hex562b3f0

90354672 has 60 divisors (see below), whose sum is σ = 263871504. Its totient is φ = 28807680.

The previous prime is 90354661. The next prime is 90354673. The reversal of 90354672 is 27645309.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90354673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10329 + ... + 16952.

Almost surely, 290354672 is an apocalyptic number.

90354672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

90354672 is an abundant number, since it is smaller than the sum of its proper divisors (173516832).

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

90354672 is a wasteful number, since it uses less digits than its factorization.

90354672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27318 (or 27309 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 90354672 is about 9505.5074562066. The cubic root of 90354672 is about 448.7283803852.

The spelling of 90354672 in words is "ninety million, three hundred fifty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 27281 54562 81843 109124 163686 218248 245529 327372 436496 491058 627463 654744 982116 1254926 1309488 1882389 1964232 2509852 3764778 3928464 5019704 5647167 7529556 10039408 11294334 15059112 22588668 30118224 45177336 90354672