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125042346 = 233111316193
BaseRepresentation
bin1110111001111…
…11111010101010
322201021210212000
413130333322222
5224002323341
620224031430
73045561642
oct734777252
9281253760
10125042346
1164646190
1235a62576
131cba1070
141286d522
15ae9e8b6
hex773feaa

125042346 has 64 divisors (see below), whose sum is σ = 326471040. Its totient is φ = 34974720.

The previous prime is 125042341. The next prime is 125042347. The reversal of 125042346 is 643240521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125042341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375 + ... + 15818.

It is an arithmetic number, because the mean of its divisors is an integer number (5101110).

Almost surely, 2125042346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125042346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163235520).

125042346 is an abundant number, since it is smaller than the sum of its proper divisors (201428694).

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

125042346 is a wasteful number, since it uses less digits than its factorization.

125042346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16228 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 125042346 is about 11182.2334978304. The cubic root of 125042346 is about 500.0564549588.

Adding to 125042346 its reverse (643240521), we get a palindrome (768282867).

The spelling of 125042346 in words is "one hundred twenty-five million, forty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 16193 32386 48579 97158 145737 178123 210509 291474 356246 421018 437211 534369 631527 874422 1068738 1263054 1603107 1894581 2315599 3206214 3789162 4631198 4809321 5683743 6946797 9618642 11367486 13893594 20840391 41680782 62521173 125042346