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195129088 = 2871119521
BaseRepresentation
bin10111010000101…
…10111100000000
3111121011120210021
423220112330000
5344423112323
631210143224
74556366320
oct1350267400
9447146707
10195129088
11a0166410
1255421b14
13315701cb
141bcb5280
15121e605d
hexba16f00

195129088 has 144 divisors (see below), whose sum is σ = 512144640. Its totient is φ = 71884800.

The previous prime is 195129061. The next prime is 195129133. The reversal of 195129088 is 880921591.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 374268 + ... + 374788.

It is an arithmetic number, because the mean of its divisors is an integer number (3556560).

Almost surely, 2195129088 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 195129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256072320).

195129088 is an abundant number, since it is smaller than the sum of its proper divisors (317015552).

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

195129088 is a wasteful number, since it uses less digits than its factorization.

195129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The square root of 195129088 is about 13968.8613709207. The cubic root of 195129088 is about 580.0169317293.

The spelling of 195129088 in words is "one hundred ninety-five million, one hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 256 266 304 308 352 418 448 521 532 608 616 704 836 896 1042 1064 1216 1232 1408 1463 1672 1792 2084 2128 2432 2464 2816 2926 3344 3647 4168 4256 4864 4928 5731 5852 6688 7294 8336 8512 9856 9899 11462 11704 13376 14588 16672 17024 19712 19798 22924 23408 26752 29176 33344 34048 39596 40117 45848 46816 53504 58352 66688 69293 79192 80234 91696 93632 108889 116704 133376 138586 158384 160468 183392 187264 217778 233408 277172 316768 320936 366784 374528 435556 466816 554344 633536 641872 733568 762223 871112 933632 1108688 1267072 1283744 1467136 1524446 1742224 2217376 2534144 2567488 3048892 3484448 4434752 5134976 6097784 6968896 8869504 10269952 12195568 13937792 17739008 24391136 27875584 48782272 97564544 195129088