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45553104 = 243435149
BaseRepresentation
bin1010110111000…
…1010111010000
310011201100010000
42231301113100
543130144404
64304210000
71062123612
oct255612720
9104640100
1045553104
11237937a3
1213309900
13958c2cc
14609adb2
153eec339
hex2b715d0

45553104 has 50 divisors (see below), whose sum is σ = 131847650. Its totient is φ = 15183936.

The previous prime is 45553073. The next prime is 45553117. The reversal of 45553104 is 40135554.

45553104 is a `hidden beast` number, since 4 + 5 + 553 + 104 = 666.

45553104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 2624400 = 6552^2 + 1620^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16279 + ... + 18870.

It is an arithmetic number, because the mean of its divisors is an integer number (2636953).

Almost surely, 245553104 is an apocalyptic number.

It is an amenable number.

45553104 is an abundant number, since it is smaller than the sum of its proper divisors (86294546).

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

45553104 is a wasteful number, since it uses less digits than its factorization.

45553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35169 (or 35154 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45553104 is about 6749.3039641136. The cubic root of 45553104 is about 357.1406832020.

Adding to 45553104 its reverse (40135554), we get a palindrome (85688658).

The spelling of 45553104 in words is "forty-five million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 35149 70298 105447 140596 210894 281192 316341 421788 562384 632682 843576 949023 1265364 1687152 1898046 2530728 2847069 3796092 5061456 5694138 7592184 11388276 15184368 22776552 45553104