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90000328 = 23111278053
BaseRepresentation
bin1010101110101…
…00101111001000
320021100111020111
411113110233020
5141020002303
612533004104
72141663425
oct527245710
9207314214
1090000328
1146891640
1226183634
1315852142
14bd4ad4c
157d7bb6d
hex55d4bc8

90000328 has 32 divisors (see below), whose sum is σ = 185564160. Its totient is φ = 40582080.

The previous prime is 90000301. The next prime is 90000331. The reversal of 90000328 is 82300009.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 90000299 and 90000308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7150 + ... + 15202.

It is an arithmetic number, because the mean of its divisors is an integer number (5798880).

Almost surely, 290000328 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 90000328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92782080).

90000328 is an abundant number, since it is smaller than the sum of its proper divisors (95563832).

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

90000328 is a wasteful number, since it uses less digits than its factorization.

90000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 90000328 is about 9486.8502676073. The cubic root of 90000328 is about 448.1410190627.

The spelling of 90000328 in words is "ninety million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 127 254 508 1016 1397 2794 5588 8053 11176 16106 32212 64424 88583 177166 354332 708664 1022731 2045462 4090924 8181848 11250041 22500082 45000164 90000328