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45750500 = 2253372473
BaseRepresentation
bin1010111010000…
…1100011100100
310012002100212222
42232201203210
543203004000
64312331512
71063605245
oct256414344
9105070788
1045750500
1123909034
12133a3b98
13962b103
14610cccc
15403aa85
hex2ba18e4

45750500 has 48 divisors (see below), whose sum is σ = 102661104. Its totient is φ = 17798400.

The previous prime is 45750493. The next prime is 45750503. The reversal of 45750500 is 505754.

It can be written as a sum of positive squares in 8 ways, for example, as 2795584 + 42954916 = 1672^2 + 6554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45750500.

It is not an unprimeable number, because it can be changed into a prime (45750503) 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, 17264 + ... + 19736.

It is an arithmetic number, because the mean of its divisors is an integer number (2138773).

Almost surely, 245750500 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 45750500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330552).

45750500 is an abundant number, since it is smaller than the sum of its proper divisors (56910604).

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

45750500 is a wasteful number, since it uses less digits than its factorization.

45750500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 45750500 is about 6763.9115901969. The cubic root of 45750500 is about 357.6558076781.

The spelling of 45750500 in words is "forty-five million, seven hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 2473 3700 4625 4946 9250 9892 12365 18500 24730 49460 61825 91501 123650 183002 247300 309125 366004 457505 618250 915010 1236500 1830020 2287525 4575050 9150100 11437625 22875250 45750500