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90013248 = 2633134007
BaseRepresentation
bin1010101110101…
…11111001000000
320021101010222000
411113113321000
5141020410443
612533144000
72142046203
oct527277100
9207333860
1090013248
11468a0316
122618b000
1315857ca0
14bd5193a
157d808d3
hex55d7e40

90013248 has 112 divisors (see below), whose sum is σ = 285048960. Its totient is φ = 27689472.

The previous prime is 90013229. The next prime is 90013309. The reversal of 90013248 is 84231009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20461 + ... + 24467.

It is an arithmetic number, because the mean of its divisors is an integer number (2545080).

Almost surely, 290013248 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 90013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142524480).

90013248 is an abundant number, since it is smaller than the sum of its proper divisors (195035712).

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

90013248 is a wasteful number, since it uses less digits than its factorization.

90013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90013248 is about 9487.5311857195. The cubic root of 90013248 is about 448.1624623362.

The spelling of 90013248 in words is "ninety million, thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 4007 5616 7488 8014 11232 12021 16028 22464 24042 32056 36063 48084 52091 64112 72126 96168 104182 108189 128224 144252 156273 192336 208364 216378 256448 288504 312546 384672 416728 432756 468819 577008 625092 769344 833456 865512 937638 1154016 1250184 1406457 1666912 1731024 1875276 2308032 2500368 2812914 3333824 3462048 3750552 5000736 5625828 6924096 7501104 10001472 11251656 15002208 22503312 30004416 45006624 90013248