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2521315272 = 233737587691
BaseRepresentation
bin1001011001001000…
…0011011111001000
320111201022002100010
42112102003133020
520130424042042
61054104311520
7116323553250
oct22622033710
96451262303
102521315272
111084242533
125a44725a0
13312483438
1419cbdc960
15eb53b59c
hex964837c8

2521315272 has 128 divisors (see below), whose sum is σ = 7421783040. Its totient is φ = 698699520.

The previous prime is 2521315261. The next prime is 2521315289. The reversal of 2521315272 is 2725131252.

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, 3648447 + ... + 3649137.

It is an arithmetic number, because the mean of its divisors is an integer number (57982680).

Almost surely, 22521315272 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 2521315272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710891520).

2521315272 is an abundant number, since it is smaller than the sum of its proper divisors (4900467768).

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

2521315272 is a wasteful number, since it uses less digits than its factorization.

2521315272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1327 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 2521315272 is about 50212.7003057991. The cubic root of 2521315272 is about 1361.0551341782.

It can be divided in two parts, 252131 and 5272, that added together give a triangular number (257403 = T717).

The spelling of 2521315272 in words is "two billion, five hundred twenty-one million, three hundred fifteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 587 691 777 888 1036 1174 1382 1554 1761 2072 2073 2348 2764 3108 3522 4109 4146 4696 4837 5528 6216 7044 8218 8292 9674 12327 14088 14511 16436 16584 19348 21719 24654 25567 29022 32872 38696 43438 49308 51134 58044 65157 76701 86876 98616 102268 116088 130314 152033 153402 173752 178969 204536 260628 304066 306804 357938 405617 456099 521256 536907 608132 613608 715876 811234 912198 1073814 1216264 1216851 1431752 1622468 1824396 2147628 2433702 2839319 3244936 3648792 4295256 4867404 5678638 8517957 9734808 11357276 15007829 17035914 22714552 30015658 34071828 45023487 60031316 68143656 90046974 105054803 120062632 180093948 210109606 315164409 360187896 420219212 630328818 840438424 1260657636 2521315272