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49409287524 = 22345322332
BaseRepresentation
bin101110000001000001…
…011110010101100100
311201112102021212110000
4232001001132111210
51302142234200044
634410500301300
73366260004642
oct560101362544
9151472255400
1049409287524
1119a55289023
1296ab0a1830
13487557660c
14256a0c4192
151442aadd69
hexb8105e564

49409287524 has 135 divisors (see below), whose sum is σ = 132216148603. Its totient is φ = 16089660288.

The previous prime is 49409287507. The next prime is 49409287537. The reversal of 49409287524 is 42578290494.

It is a happy number.

The square root of 49409287524 is 222282.

It is a perfect power (a square), and thus also a powerful number.

49409287524 is a `hidden beast` number, since 4 + 94 + 0 + 9 + 28 + 7 + 524 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 391327524 + 49017960000 = 19782^2 + 221400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 212056912 + ... + 212057144.

Almost surely, 249409287524 is an apocalyptic number.

49409287524 is the 222282-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49409287524

49409287524 is an abundant number, since it is smaller than the sum of its proper divisors (82806861079).

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

49409287524 is an equidigital number, since it uses as much as digits as its factorization.

49409287524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 49409287524 in words is "forty-nine billion, four hundred nine million, two hundred eighty-seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 233 318 324 466 477 636 699 932 954 1398 1431 1908 2097 2796 2809 2862 4194 4293 5618 5724 6291 8388 8427 8586 11236 12349 12582 16854 17172 18873 24698 25164 25281 33708 37047 37746 49396 50562 54289 74094 75492 75843 101124 108578 111141 148188 151686 162867 217156 222282 227529 303372 325734 333423 444564 455058 488601 651468 654497 666846 910116 977202 1000269 1308994 1333692 1465803 1954404 1963491 2000538 2617988 2877317 2931606 3926982 4001076 4397409 5754634 5863212 5890473 7853964 8631951 8794818 11509268 11780946 17263902 17589636 17671419 23561892 25895853 34527804 35342838 51791706 53014257 70685676 77687559 103583412 106028514 152497801 155375118 212057028 233062677 304995602 310750236 457493403 466125354 609991204 914986806 932250708 1372480209 1829973612 2744960418 4117440627 5489920836 8234881254 12352321881 16469762508 24704643762 49409287524