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128849088 = 2632973317
BaseRepresentation
bin1111010111000…
…01010011000000
322222110012201110
413223201103000
5230441132323
620441403320
73123125214
oct753412300
9288405643
10128849088
1166806255
1237199540
1320904984
1413180944
15b4a2793
hex7ae14c0

128849088 has 112 divisors (see below), whose sum is σ = 358627680. Its totient is φ = 40771584.

The previous prime is 128849087. The next prime is 128849099. The reversal of 128849088 is 880948821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (128849087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406306 + ... + 406622.

Almost surely, 2128849088 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 128849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179313840).

128849088 is an abundant number, since it is smaller than the sum of its proper divisors (229778592).

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

128849088 is a wasteful number, since it uses less digits than its factorization.

128849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 128849088 is about 11351.1712171035. The cubic root of 128849088 is about 505.0803231382.

The spelling of 128849088 in words is "one hundred twenty-eight million, eight hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 146 174 192 219 232 292 317 348 438 464 584 634 696 876 928 951 1168 1268 1392 1752 1856 1902 2117 2336 2536 2784 3504 3804 4234 4672 5072 5568 6351 7008 7608 8468 9193 10144 12702 14016 15216 16936 18386 20288 23141 25404 27579 30432 33872 36772 46282 50808 55158 60864 67744 69423 73544 92564 101616 110316 135488 138846 147088 185128 203232 220632 277692 294176 370256 406464 441264 555384 588352 671089 740512 882528 1110768 1342178 1481024 1765056 2013267 2221536 2684356 4026534 4443072 5368712 8053068 10737424 16106136 21474848 32212272 42949696 64424544 128849088