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2525052288 = 273115311279
BaseRepresentation
bin1001011010000001…
…0011110110000000
320111222022221120010
42112200103312000
520132403133123
61054320344520
7116400406323
oct22640236600
96458287503
102525052288
111086365180
125a5775140
133131913a5
1419d4d27ba
15eba28993
hex96813d80

2525052288 has 128 divisors (see below), whose sum is σ = 7455628800. Its totient is φ = 750663680.

The previous prime is 2525052247. The next prime is 2525052319. The reversal of 2525052288 is 8822505252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218233 + ... + 229511.

It is an arithmetic number, because the mean of its divisors is an integer number (58247100).

Almost surely, 22525052288 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 2525052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727814400).

2525052288 is an abundant number, since it is smaller than the sum of its proper divisors (4930576512).

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

2525052288 is a wasteful number, since it uses less digits than its factorization.

2525052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 2525052288 is about 50249.8983879570. The cubic root of 2525052288 is about 1361.7272402578.

The spelling of 2525052288 in words is "two billion, five hundred twenty-five million, fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 264 318 352 384 424 528 583 636 704 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 3392 3498 4224 4664 5088 6784 6996 9328 10176 11279 13992 18656 20352 22558 27984 33837 37312 45116 55968 67674 74624 90232 111936 124069 135348 180464 223872 248138 270696 360928 372207 496276 541392 597787 721856 744414 992552 1082784 1195574 1443712 1488828 1793361 1985104 2165568 2391148 2977656 3586722 3970208 4331136 4782296 5955312 6575657 7173444 7940416 9564592 11910624 13151314 14346888 15880832 19129184 19726971 23821248 26302628 28693776 38258368 39453942 47642496 52605256 57387552 76516736 78907884 105210512 114775104 157815768 210421024 229550208 315631536 420842048 631263072 841684096 1262526144 2525052288