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128257992 = 2334434603
BaseRepresentation
bin1111010010100…
…00111111001000
322221100011220000
413221100333020
5230313223432
620421003000
73115114002
oct751207710
9287304800
10128257992
1166442145
1236b53460
1320758905
1413069372
15b3d757c
hex7a50fc8

128257992 has 80 divisors (see below), whose sum is σ = 367675440. Its totient is φ = 41749344.

The previous prime is 128257973. The next prime is 128258003. The reversal of 128257992 is 299752821.

It is a happy number.

It is a super-2 number, since 2×1282579922 = 32900225023744128, which contains 22 as substring.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25563 + ... + 30165.

It is an arithmetic number, because the mean of its divisors is an integer number (4595943).

Almost surely, 2128257992 is an apocalyptic number.

128257992 is a gapful number since it is divisible by the number (12) 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 128257992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183837720).

128257992 is an abundant number, since it is smaller than the sum of its proper divisors (239417448).

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

128257992 is a wasteful number, since it uses less digits than its factorization.

128257992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4651 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 128257992 is about 11325.1045028291. The cubic root of 128257992 is about 504.3067860098.

The spelling of 128257992 in words is "one hundred twenty-eight million, two hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 2322 3096 3483 4603 4644 6966 9206 9288 13809 13932 18412 27618 27864 36824 41427 55236 82854 110472 124281 165708 197929 248562 331416 372843 395858 497124 593787 745686 791716 994248 1187574 1491372 1583432 1781361 2375148 2982744 3562722 4750296 5344083 7125444 10688166 14250888 16032249 21376332 32064498 42752664 64128996 128257992