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125676852 = 223717231167
BaseRepresentation
bin1110111110110…
…10110100110100
322202111001020020
413133122310310
5224133124402
620245405140
73054143550
oct737326464
9282431206
10125676852
1164a39974
12361097b0
1320063b02
1412996860
15b0778bc
hex77dad34

125676852 has 144 divisors (see below), whose sum is σ = 369696768. Its totient is φ = 32509440.

The previous prime is 125676841. The next prime is 125676871. The reversal of 125676852 is 258676521.

It is a super-2 number, since 2×1256768522 = 31589342257259808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752473 + ... + 752639.

Almost surely, 2125676852 is an apocalyptic number.

125676852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125676852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184848384).

125676852 is an abundant number, since it is smaller than the sum of its proper divisors (244019916).

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

125676852 is a wasteful number, since it uses less digits than its factorization.

125676852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 125676852 is about 11210.5687634482. The cubic root of 125676852 is about 500.9008453140.

The spelling of 125676852 in words is "one hundred twenty-five million, six hundred seventy-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 167 186 204 217 238 289 334 357 372 434 476 501 527 578 651 668 714 867 868 1002 1054 1156 1169 1302 1428 1581 1734 2004 2023 2108 2338 2604 2839 3162 3468 3507 3689 4046 4676 5177 5678 6069 6324 7014 7378 8092 8517 8959 10354 11067 11356 12138 14028 14756 15531 17034 17918 19873 20708 22134 24276 26877 31062 34068 35836 36239 39746 44268 48263 53754 59619 62124 62713 72478 79492 88009 96526 107508 108717 119238 125426 144789 144956 176018 188139 193052 217434 238476 250852 264027 289578 337841 352036 376278 434868 528054 579156 616063 675682 752556 1013523 1056108 1232126 1351364 1496153 1848189 2027046 2464252 2992306 3696378 4054092 4488459 5984612 7392756 8976918 10473071 17953836 20946142 31419213 41892284 62838426 125676852