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90413500 = 2253211857
BaseRepresentation
bin1010110001110…
…01100110111100
320022010111000011
411120321212330
5141121213000
612545513004
72145334132
oct530714674
9208114004
1090413500
1147044001
1226342764
1315968218
14c017752
157e0e2ba
hex56399bc

90413500 has 48 divisors (see below), whose sum is σ = 198630432. Its totient is φ = 35952000.

The previous prime is 90413471. The next prime is 90413501. The reversal of 90413500 is 531409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90413501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105072 + ... + 105928.

It is an arithmetic number, because the mean of its divisors is an integer number (4138134).

Almost surely, 290413500 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 90413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99315216).

90413500 is an abundant number, since it is smaller than the sum of its proper divisors (108216932).

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

90413500 is a wasteful number, since it uses less digits than its factorization.

90413500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 90413500 is about 9508.6013692867. The cubic root of 90413500 is about 448.8257450838.

Adding to 90413500 its reverse (531409), we get a palindrome (90944909).

The spelling of 90413500 in words is "ninety million, four hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 211 250 422 500 844 857 1055 1714 2110 3428 4220 4285 5275 8570 10550 17140 21100 21425 26375 42850 52750 85700 105500 107125 180827 214250 361654 428500 723308 904135 1808270 3616540 4520675 9041350 18082700 22603375 45206750 90413500