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2045475432 = 233271113101281
BaseRepresentation
bin111100111101011…
…0111101001101000
312021112220220210100
41321322313221220
513142120203212
6534545345400
7101455153140
oct17172675150
95245826710
102045475432
1195a687a70
12491038260
13267a0a1c0
14155935920
15be896bdc
hex79eb7a68

2045475432 has 384 divisors, whose sum is σ = 7538469120. Its totient is φ = 483840000.

The previous prime is 2045475409. The next prime is 2045475433. The reversal of 2045475432 is 2345745402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2045475433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7279132 + ... + 7279412.

It is an arithmetic number, because the mean of its divisors is an integer number (19631430).

Almost surely, 22045475432 is an apocalyptic number.

2045475432 is a gapful number since it is divisible by the number (22) 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 2045475432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769234560).

2045475432 is an abundant number, since it is smaller than the sum of its proper divisors (5492993688).

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

2045475432 is a wasteful number, since it uses less digits than its factorization.

2045475432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 2045475432 is about 45226.9325955232. The cubic root of 2045475432 is about 1269.3988168729.

The spelling of 2045475432 in words is "two billion, forty-five million, four hundred seventy-five thousand, four hundred thirty-two".