Search a number
-
+
90103488 = 2631134153
BaseRepresentation
bin1010101111011…
…01111011000000
320021112201202020
411113231323000
5141031302423
612535121440
72142603246
oct527557300
9207481666
1090103488
11469520a2
1226213280
131588a097
14bd76796
157d9c4e3
hex55edec0

90103488 has 56 divisors (see below), whose sum is σ = 240566448. Its totient is φ = 29761536.

The previous prime is 90103487. The next prime is 90103499. The reversal of 90103488 is 88430109.

It is a super-2 number, since 2×901034882 = 16237277099532288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90103483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19620 + ... + 23772.

Almost surely, 290103488 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 90103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120283224).

90103488 is an abundant number, since it is smaller than the sum of its proper divisors (150462960).

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

90103488 is a wasteful number, since it uses less digits than its factorization.

90103488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 90103488 is about 9492.2857099858. The cubic root of 90103488 is about 448.3121761259.

The spelling of 90103488 in words is "ninety million, one hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 4153 5424 7232 8306 10848 12459 16612 21696 24918 33224 49836 66448 99672 132896 199344 265792 398688 469289 797376 938578 1407867 1877156 2815734 3754312 5631468 7508624 11262936 15017248 22525872 30034496 45051744 90103488