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125442324 = 22337732273
BaseRepresentation
bin1110111101000…
…01100100010100
322202001010112000
413132201210110
5224103123244
620240355300
73052146030
oct736414424
9282033460
10125442324
1164899747
1236015b30
131ccb1137
14129351c0
15b02d169
hex77a1914

125442324 has 96 divisors (see below), whose sum is σ = 376938240. Its totient is φ = 35334144.

The previous prime is 125442293. The next prime is 125442341. The reversal of 125442324 is 423244521.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54052 + ... + 56324.

It is an arithmetic number, because the mean of its divisors is an integer number (3926440).

Almost surely, 2125442324 is an apocalyptic number.

125442324 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 125442324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188469120).

125442324 is an abundant number, since it is smaller than the sum of its proper divisors (251495916).

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

125442324 is a wasteful number, since it uses less digits than its factorization.

125442324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2358 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 125442324 is about 11200.1037495195. The cubic root of 125442324 is about 500.5890710514.

Adding to 125442324 its reverse (423244521), we get a palindrome (548686845).

The spelling of 125442324 in words is "one hundred twenty-five million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2273 2628 3066 3942 4546 4599 6132 6819 7884 9092 9198 13638 13797 15911 18396 20457 27276 27594 31822 40914 47733 55188 61371 63644 81828 95466 122742 143199 165929 190932 245484 286398 331858 429597 497787 572796 663716 859194 995574 1161503 1493361 1718388 1991148 2323006 2986722 3484509 4480083 4646012 5973444 6969018 8960166 10453527 13938036 17920332 20907054 31360581 41814108 62721162 125442324