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90647648 = 2572134447
BaseRepresentation
bin1010110011100…
…10110001100000
320022120101012022
411121302301200
5141201211043
612554521012
72150330600
oct531626140
9208511168
1090647648
1147193a13
1226436168
1315a1a980
14c078c00
157e58868
hex5672c60

90647648 has 72 divisors (see below), whose sum is σ = 223618752. Its totient is φ = 35852544.

The previous prime is 90647639. The next prime is 90647653. The reversal of 90647648 is 84674609.

It is a junction number, because it is equal to n+sod(n) for n = 90647599 and 90647608.

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, 18161 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (3105816).

Almost surely, 290647648 is an apocalyptic number.

90647648 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90647648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111809376).

90647648 is an abundant number, since it is smaller than the sum of its proper divisors (132971104).

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

90647648 is a wasteful number, since it uses less digits than its factorization.

90647648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 90647648 is about 9520.9058392571. The cubic root of 90647648 is about 449.2128593261.

The spelling of 90647648 in words is "ninety million, six hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 4447 5096 8894 10192 17788 20384 31129 35576 57811 62258 71152 115622 124516 142304 217903 231244 249032 404677 435806 462488 498064 809354 871612 924976 996128 1618708 1743224 1849952 2832739 3237416 3486448 5665478 6474832 6972896 11330956 12949664 22661912 45323824 90647648