Search a number
-
+
125148968 = 23717472797
BaseRepresentation
bin1110111010110…
…01111100101000
322201111020002222
413131121330220
5224014231333
620230213212
73046514540
oct735317450
9281436088
10125148968
11647092aa
1235ab4208
131cc0a759
141289a320
15aec1298
hex7759f28

125148968 has 64 divisors (see below), whose sum is σ = 290096640. Its totient is φ = 49388544.

The previous prime is 125148941. The next prime is 125148973. The reversal of 125148968 is 869841521.

It is a Cunningham number, because it is equal to 111872-1.

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, 43346 + ... + 46142.

It is an arithmetic number, because the mean of its divisors is an integer number (4532760).

Almost surely, 2125148968 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 125148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145048320).

125148968 is an abundant number, since it is smaller than the sum of its proper divisors (164947672).

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

125148968 is a wasteful number, since it uses less digits than its factorization.

125148968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2870 counting only the distinct ones).

The product of its digits is 138240, while the sum is 44.

The square root of 125148968 is about 11186.9999553053. Note that the first 4 decimals coincide. The cubic root of 125148968 is about 500.1985451492.

The spelling of 125148968 in words is "one hundred twenty-five million, one hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1316 1598 2632 2797 3196 5593 5594 6392 11186 11188 19579 22372 22376 39158 44744 47549 78316 95098 131459 156632 190196 262918 332843 380392 525836 665686 920213 1051672 1331372 1840426 2234803 2662744 3680852 4469606 7361704 8939212 15643621 17878424 31287242 62574484 125148968