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5220461376 = 263213253629
BaseRepresentation
bin1001101110010100…
…11110101101000000
3111110211012220201100
410313022132231000
541142414231001
62222004334400
7243240122004
oct46712365500
914424186640
105220461376
1122398a5999
1210183a4400
1365272b300
1437748c704
152084a3586
hex13729eb40

5220461376 has 126 divisors (see below), whose sum is σ = 16203392790. Its totient is φ = 1606265856.

The previous prime is 5220461359. The next prime is 5220461459. The reversal of 5220461376 is 6731640225.

5220461376 is a `hidden beast` number, since 5 + 220 + 4 + 61 + 376 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 392990976 + 4827470400 = 19824^2 + 69480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5220461376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70530 + ... + 124158.

Almost surely, 25220461376 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 5220461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101696395).

5220461376 is an abundant number, since it is smaller than the sum of its proper divisors (10982931414).

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

5220461376 is a wasteful number, since it uses less digits than its factorization.

5220461376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53673 (or 53647 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5220461376 is about 72252.7603348135. The cubic root of 5220461376 is about 1734.7476013068.

The spelling of 5220461376 in words is "five billion, two hundred twenty million, four hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 53629 97344 107258 160887 214516 321774 429032 482661 643548 697177 858064 965322 1287096 1394354 1716128 1930644 2091531 2574192 2788708 3432256 3861288 4183062 5148384 5577416 6274593 7722576 8366124 9063301 10296768 11154832 12549186 15445152 16732248 18126602 22309664 25098372 27189903 30890304 33464496 36253204 44619328 50196744 54379806 66928992 72506408 81569709 100393488 108759612 133857984 145012816 163139418 200786976 217519224 290025632 326278836 401573952 435038448 580051264 652557672 870076896 1305115344 1740153792 2610230688 5220461376