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5577625248 = 2531319012351
BaseRepresentation
bin1010011000111001…
…11100111010100000
3112101201021201102220
411030130330322200
542410333001443
62321243511040
7255135014046
oct51434747240
915351251386
105577625248
112402473448
1210b7b28480
136ab722190
143acaa2396
15229a04a83
hex14c73cea0

5577625248 has 96 divisors (see below), whose sum is σ = 15782522112. Its totient is φ = 1714560000.

The previous prime is 5577625213. The next prime is 5577625271. The reversal of 5577625248 is 8425267755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55776252482 = 62219806814254123008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5577625248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371273 + ... + 2373623.

It is an arithmetic number, because the mean of its divisors is an integer number (164401272).

Almost surely, 25577625248 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 5577625248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891261056).

5577625248 is an abundant number, since it is smaller than the sum of its proper divisors (10204896864).

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

5577625248 is a wasteful number, since it uses less digits than its factorization.

5577625248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4270 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 51.

The square root of 5577625248 is about 74683.5005071401. The cubic root of 5577625248 is about 1773.4397713765.

The spelling of 5577625248 in words is "five billion, five hundred seventy-seven million, six hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1901 2351 3802 4702 5703 7053 7604 9404 11406 14106 15208 18808 22812 24713 28212 30416 30563 37616 45624 49426 56424 60832 61126 74139 75232 91248 91689 98852 112848 122252 148278 182496 183378 197704 225696 244504 296556 366756 395408 489008 593112 733512 790816 978016 1186224 1467024 2372448 2934048 4469251 8938502 13407753 17877004 26815506 35754008 53631012 58100263 71508016 107262024 116200526 143016032 174300789 214524048 232401052 348601578 429048096 464802104 697203156 929604208 1394406312 1859208416 2788812624 5577625248