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2479028244 = 22371110092659
BaseRepresentation
bin1001001111000010…
…1111100000010100
320101202201200102220
42103300233200110
520034112400434
61045554102340
7115301251410
oct22360574024
96352650386
102479028244
11106238a680
1259227a9b0
13306798924
14197351d40
15e7986d49
hex93c2f814

2479028244 has 96 divisors (see below), whose sum is σ = 7221580800. Its totient is φ = 643023360.

The previous prime is 2479028143. The next prime is 2479028263. The reversal of 2479028244 is 4428209742.

It is a super-2 number, since 2×24790282442 = 12291162069099447072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2479028196 and 2479028205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930987 + ... + 933645.

It is an arithmetic number, because the mean of its divisors is an integer number (75224800).

Almost surely, 22479028244 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 2479028244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610790400).

2479028244 is an abundant number, since it is smaller than the sum of its proper divisors (4742552556).

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

2479028244 is a wasteful number, since it uses less digits than its factorization.

2479028244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2479028244 is about 49789.8407709846. The cubic root of 2479028244 is about 1353.4030730534.

The spelling of 2479028244 in words is "two billion, four hundred seventy-nine million, twenty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1009 2018 2659 3027 4036 5318 6054 7063 7977 10636 11099 12108 14126 15954 18613 21189 22198 28252 29249 31908 33297 37226 42378 44396 55839 58498 66594 74452 77693 84756 87747 111678 116996 133188 155386 175494 204743 223356 233079 310772 350988 409486 466158 614229 818972 932316 1228458 2456916 2682931 5365862 8048793 10731724 16097586 18780517 29512241 32195172 37561034 56341551 59024482 75122068 88536723 112683102 118048964 177073446 206585687 225366204 354146892 413171374 619757061 826342748 1239514122 2479028244