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125369244 = 223273111371
BaseRepresentation
bin1110111100011…
…11101110011100
322201220102021100
413132033232130
5224043303434
620235033100
73051423000
oct736175634
9281812240
10125369244
1164849850
1235b9b790
131cc86ab0
1412916700
15b016699
hex778fb9c

125369244 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 29635200.

The previous prime is 125369183. The next prime is 125369249. The reversal of 125369244 is 442963521.

It is a happy number.

It is a super-2 number, since 2×1253692442 = 31434894682263072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 125369199 and 125369208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125369249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1765729 + ... + 1765799.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2125369244 is an apocalyptic number.

125369244 is a gapful number since it is divisible by the number (14) 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 125369244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

125369244 is an abundant number, since it is smaller than the sum of its proper divisors (314925156).

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

125369244 is a wasteful number, since it uses less digits than its factorization.

125369244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 125369244 is about 11196.8408044412. The cubic root of 125369244 is about 500.4918413588.

It can be divided in two parts, 1253692 and 44, that added together give a triangular number (1253736 = T1583).

The spelling of 125369244 in words is "one hundred twenty-five million, three hundred sixty-nine thousand, two hundred forty-four".