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2589088372 = 2213175373757
BaseRepresentation
bin1001101001010010…
…0101101001110100
320200102211022112221
42122110211221310
520300301311442
61104525052124
7121105613413
oct23224455164
96612738487
102589088372
111109522462
126030b7044
13323522470
141a7c0147a
15102477467
hex9a525a74

2589088372 has 96 divisors (see below), whose sum is σ = 5343099552. Its totient is φ = 1086898176.

The previous prime is 2589088367. The next prime is 2589088429. The reversal of 2589088372 is 2738809852.

It can be written as a sum of positive squares in 16 ways, for example, as 137452176 + 2451636196 = 11724^2 + 49514^2 .

It is a super-2 number, since 2×25890883722 = 13406757196051220768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 3419818 + ... + 3420574.

It is an arithmetic number, because the mean of its divisors is an integer number (55657287).

Almost surely, 22589088372 is an apocalyptic number.

It is an amenable number.

2589088372 is an abundant number, since it is smaller than the sum of its proper divisors (2754011180).

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

2589088372 is a wasteful number, since it uses less digits than its factorization.

2589088372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The square root of 2589088372 is about 50883.0853231209. The cubic root of 2589088372 is about 1373.1425492717.

The spelling of 2589088372 in words is "two billion, five hundred eighty-nine million, eighty-eight thousand, three hundred seventy-two".

Divisors: 1 2 4 13 17 26 34 52 53 68 73 106 146 212 221 292 442 689 757 884 901 949 1241 1378 1514 1802 1898 2482 2756 3028 3604 3796 3869 4964 7738 9841 11713 12869 15476 16133 19682 23426 25738 32266 39364 40121 46852 50297 51476 55261 64532 65773 80242 100594 110522 131546 160484 167297 201188 221044 263092 334594 521573 669188 682057 718393 855049 939437 1043146 1364114 1436786 1710098 1878874 2086292 2728228 2873572 2928833 3420196 3757748 5857666 8866741 11715332 12212681 17733482 24425362 35466964 38074829 48850724 49790161 76149658 99580322 152299316 199160644 647272093 1294544186 2589088372