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2598041056 = 251323115497
BaseRepresentation
bin1001101011011010…
…1111010111100000
320201001200011022211
42122312233113200
520310044303211
61105445011504
7121244661502
oct23266572740
96631604284
102598041056
111113587776
126060b3b94
13325338400
141a9091d72
15103144e21
hex9adaf5e0

2598041056 has 72 divisors (see below), whose sum is σ = 5717646144. Its totient is φ = 1160340480.

The previous prime is 2598040993. The next prime is 2598041059. The reversal of 2598041056 is 6501408952.

It is a super-3 number, since 3×25980410563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2598041059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159900 + ... + 175396.

It is an arithmetic number, because the mean of its divisors is an integer number (79411752).

Almost surely, 22598041056 is an apocalyptic number.

2598041056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2598041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858823072).

2598041056 is an abundant number, since it is smaller than the sum of its proper divisors (3119605088).

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

2598041056 is a wasteful number, since it uses less digits than its factorization.

2598041056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15564 (or 15543 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 2598041056 is about 50970.9824900404. The cubic root of 2598041056 is about 1374.7234363434.

The spelling of 2598041056 in words is "two billion, five hundred ninety-eight million, forty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 676 806 992 1352 1612 2704 3224 5239 5408 6448 10478 12896 15497 20956 30994 41912 61988 83824 123976 167648 201461 247952 402922 480407 495904 805844 960814 1611688 1921628 2618993 3223376 3843256 5237986 6245291 6446752 7686512 10475972 12490582 15373024 20951944 24981164 41903888 49962328 81188783 83807776 99924656 162377566 199849312 324755132 649510264 1299020528 2598041056