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5722619904 = 214321972
BaseRepresentation
bin1010101010001100…
…00100000000000000
3112202211010012201100
411111012010000000
543204442314104
62343503334400
7261545316021
oct52506040000
915684105640
105722619904
1124772a7041
1211385b1400
1370278aa31
143c4046c48
152375e6139
hex155184000

5722619904 has 135 divisors (see below), whose sum is σ = 16615850797. Its totient is φ = 1897857024.

The previous prime is 5722619887. The next prime is 5722619953. The reversal of 5722619904 is 4099162275.

The square root of 5722619904 is 75648.

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

5722619904 is a `hidden beast` number, since 5 + 7 + 22 + 619 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5607014400 + 115605504 = 74880^2 + 10752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5722619904.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29048734 + ... + 29048930.

Almost surely, 25722619904 is an apocalyptic number.

5722619904 is the 75648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5722619904

5722619904 is an abundant number, since it is smaller than the sum of its proper divisors (10893230893).

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

5722619904 is an frugal number, since it uses more digits than its factorization.

5722619904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 5722619904 is about 1788.6758101746.

The spelling of 5722619904 in words is "five billion, seven hundred twenty-two million, six hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 256 288 384 394 512 576 591 768 788 1024 1152 1182 1536 1576 1773 2048 2304 2364 3072 3152 3546 4096 4608 4728 6144 6304 7092 8192 9216 9456 12288 12608 14184 16384 18432 18912 24576 25216 28368 36864 37824 38809 49152 50432 56736 73728 75648 77618 100864 113472 116427 147456 151296 155236 201728 226944 232854 302592 310472 349281 403456 453888 465708 605184 620944 698562 806912 907776 931416 1210368 1241888 1397124 1613824 1815552 1862832 2420736 2483776 2794248 3227648 3631104 3725664 4841472 4967552 5588496 7262208 7451328 9682944 9935104 11176992 14524416 14902656 19870208 22353984 29048832 29805312 39740416 44707968 59610624 79480832 89415936 119221248 158961664 178831872 238442496 317923328 357663744 476884992 635846656 715327488 953769984 1430654976 1907539968 2861309952 5722619904