Search a number
-
+
125044884 = 22351031249
BaseRepresentation
bin1110111010000…
…00100010010100
322201021221100000
413131000202110
5224002414014
620224051300
73045602226
oct735004224
9281257300
10125044884
1164648088
1235a63b30
131cba2273
1412870416
15aea0509
hex7740894

125044884 has 72 divisors (see below), whose sum is σ = 331240000. Its totient is φ = 41243904.

The previous prime is 125044879. The next prime is 125044889. The reversal of 125044884 is 488440521.

It is an interprime number because it is at equal distance from previous prime (125044879) and next prime (125044889).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125044889) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99492 + ... + 100740.

Almost surely, 2125044884 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 125044884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165620000).

125044884 is an abundant number, since it is smaller than the sum of its proper divisors (206195116).

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

125044884 is a wasteful number, since it uses less digits than its factorization.

125044884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 125044884 is about 11182.3469808444. The cubic root of 125044884 is about 500.0598381718.

The spelling of 125044884 in words is "one hundred twenty-five million, forty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 927 972 1236 1249 1854 2498 2781 3708 3747 4996 5562 7494 8343 11124 11241 14988 16686 22482 25029 33372 33723 44964 50058 67446 100116 101169 128647 134892 202338 257294 303507 385941 404676 514588 607014 771882 1157823 1214028 1543764 2315646 3473469 4631292 6946938 10420407 13893876 20840814 31261221 41681628 62522442 125044884