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2557940088 = 23311173671553
BaseRepresentation
bin1001100001110111…
…0001000101111000
320121021012211010210
42120131301011320
520214313040323
61101453311120
7120250063164
oct23035610570
96537184123
102557940088
1110a2988280
125b47954a0
13319c37922
141a3a13ca4
15ee873293
hex98771178

2557940088 has 128 divisors (see below), whose sum is σ = 7411461120. Its totient is φ = 727080960.

The previous prime is 2557940087. The next prime is 2557940117. The reversal of 2557940088 is 8800497552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557940081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1646320 + ... + 1647872.

It is an arithmetic number, because the mean of its divisors is an integer number (57902040).

Almost surely, 22557940088 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 2557940088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705730560).

2557940088 is an abundant number, since it is smaller than the sum of its proper divisors (4853521032).

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

2557940088 is a wasteful number, since it uses less digits than its factorization.

2557940088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2557940088 is about 50576.0821732961. The cubic root of 2557940088 is about 1367.6137422200.

The spelling of 2557940088 in words is "two billion, five hundred fifty-seven million, nine hundred forty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 367 374 408 561 734 748 1101 1122 1468 1496 1553 2202 2244 2936 3106 4037 4404 4488 4659 6212 6239 8074 8808 9318 12111 12424 12478 16148 17083 18636 18717 24222 24956 26401 32296 34166 37272 37434 48444 49912 51249 52802 68332 68629 74868 79203 96888 102498 105604 136664 137258 149736 158406 204996 205887 211208 274516 290411 316812 409992 411774 549032 569951 580822 633624 823548 871233 1139902 1161644 1647096 1709853 1742466 2279804 2323288 3419706 3484932 4559608 6269461 6839412 6969864 9689167 12538922 13678824 18808383 19378334 25077844 29067501 37616766 38756668 50155688 58135002 75233532 77513336 106580837 116270004 150467064 213161674 232540008 319742511 426323348 639485022 852646696 1278970044 2557940088