Search a number
-
+
129385488 = 24323163719
BaseRepresentation
bin1111011011001…
…00010000010000
3100000110110112010
413231210100100
5231110313423
620501102520
73130521111
oct755442020
9300413463
10129385488
1167042261
12373b7a40
1320a61b7b
1413280208
15b55b693
hex7b64410

129385488 has 80 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 40943232.

The previous prime is 129385469. The next prime is 129385499. The reversal of 129385488 is 884583921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179593 + ... + 180311.

It is an arithmetic number, because the mean of its divisors is an integer number (4392576).

Almost surely, 2129385488 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 129385488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

129385488 is an abundant number, since it is smaller than the sum of its proper divisors (222020592).

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

129385488 is a wasteful number, since it uses less digits than its factorization.

129385488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 129385488 is about 11374.7741955610. The cubic root of 129385488 is about 505.7802375421.

The spelling of 129385488 in words is "one hundred twenty-nine million, three hundred eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 163 184 276 326 368 489 552 652 719 978 1104 1304 1438 1956 2157 2608 2876 3749 3912 4314 5752 7498 7824 8628 11247 11504 14996 16537 17256 22494 29992 33074 34512 44988 49611 59984 66148 89976 99222 117197 132296 179952 198444 234394 264592 351591 396888 468788 703182 793776 937576 1406364 1875152 2695531 2812728 5391062 5625456 8086593 10782124 16173186 21564248 32346372 43128496 64692744 129385488