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45655000 = 235423397
BaseRepresentation
bin1010111000101…
…0001111011000
310011220111212221
42232022033120
543141430000
64310313424
71063026646
oct256121730
9104814787
1045655000
1123853306
1213358874
1395c67c1
1460c6196
15401c61a
hex2b8a3d8

45655000 has 80 divisors (see below), whose sum is σ = 111901680. Its totient is φ = 17424000.

The previous prime is 45654997. The next prime is 45655009. The reversal of 45655000 is 55654.

45655000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45655009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 114802 + ... + 115198.

It is an arithmetic number, because the mean of its divisors is an integer number (1398771).

Almost surely, 245655000 is an apocalyptic number.

45655000 is a gapful number since it is divisible by the number (40) 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 45655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55950840).

45655000 is an abundant number, since it is smaller than the sum of its proper divisors (66246680).

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

45655000 is a wasteful number, since it uses less digits than its factorization.

45655000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 45655000 is about 6756.8483777572. The cubic root of 45655000 is about 357.4067763512.

The spelling of 45655000 in words is "forty-five million, six hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 397 460 500 575 625 794 920 1000 1150 1250 1588 1985 2300 2500 2875 3176 3970 4600 5000 5750 7940 9131 9925 11500 14375 15880 18262 19850 23000 28750 36524 39700 45655 49625 57500 73048 79400 91310 99250 115000 182620 198500 228275 248125 365240 397000 456550 496250 913100 992500 1141375 1826200 1985000 2282750 4565500 5706875 9131000 11413750 22827500 45655000