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56404500 = 22353311213
BaseRepresentation
bin1101011100101…
…0101000010100
310221010122102120
43113022220110
5103414421000
65332535540
71253300415
oct327125024
9127118376
1056404500
1129925599
1216a815b0
13b8bb559
1476c380c
154e426a0
hex35caa14

56404500 has 96 divisors (see below), whose sum is σ = 169688064. Its totient is φ = 14544000.

The previous prime is 56404477. The next prime is 56404501. The reversal of 56404500 is 540465.

56404500 = 3482 + 3492 + ... + 5952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56404501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45894 + ... + 47106.

It is an arithmetic number, because the mean of its divisors is an integer number (1767584).

Almost surely, 256404500 is an apocalyptic number.

56404500 is a gapful number since it is divisible by the number (50) 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 56404500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84844032).

56404500 is an abundant number, since it is smaller than the sum of its proper divisors (113283564).

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

56404500 is a wasteful number, since it uses less digits than its factorization.

56404500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 56404500 is about 7510.2929370298. The cubic root of 56404500 is about 383.5051949387.

Adding to 56404500 its reverse (540465), we get a palindrome (56944965).

The spelling of 56404500 in words is "fifty-six million, four hundred four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1213 1500 1550 1860 2325 2426 3100 3639 3875 4650 4852 6065 7278 7750 9300 11625 12130 14556 15500 18195 23250 24260 30325 36390 37603 46500 60650 72780 75206 90975 112809 121300 150412 151625 181950 188015 225618 303250 363900 376030 451236 454875 564045 606500 752060 909750 940075 1128090 1819500 1880150 2256180 2820225 3760300 4700375 5640450 9400750 11280900 14101125 18801500 28202250 56404500