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478358540 = 2251114914593
BaseRepresentation
bin11100100000110…
…010110000001100
31020100010010112222
4130200302300030
51434424433130
6115244514512
714565660212
oct3440626014
91210103488
10478358540
11226025940
1211424ba38
13781487ba
1447760cb2
152bee0ce5
hex1c832c0c

478358540 has 48 divisors (see below), whose sum is σ = 1103306400. Its totient is φ = 172769280.

The previous prime is 478358537. The next prime is 478358591. The reversal of 478358540 is 45853874.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 478358491 and 478358500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25484 + ... + 40076.

It is an arithmetic number, because the mean of its divisors is an integer number (22985550).

Almost surely, 2478358540 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 478358540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551653200).

478358540 is an abundant number, since it is smaller than the sum of its proper divisors (624947860).

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

478358540 is a wasteful number, since it uses less digits than its factorization.

478358540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The square root of 478358540 is about 21871.4091909964. The cubic root of 478358540 is about 782.0799952179.

The spelling of 478358540 in words is "four hundred seventy-eight million, three hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 14593 16390 29186 32780 58372 72965 145930 160523 291860 321046 642092 802615 1605230 2174357 3210460 4348714 8697428 10871785 21743570 23917927 43487140 47835854 95671708 119589635 239179270 478358540