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122525442 = 232131393767
BaseRepresentation
bin1110100110110…
…01011100000010
322112112221022100
413103121130002
5222331303232
620054051230
73015310014
oct723313402
9275487270
10122525442
11631871a6
1235049b16
131c4cc580
14123b61b4
15ab53c7c
hex74d9702

122525442 has 48 divisors (see below), whose sum is σ = 288025920. Its totient is φ = 37418976.

The previous prime is 122525437. The next prime is 122525467. The reversal of 122525442 is 244525221.

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 23 ways as a sum of consecutive naturals, for example, 30643 + ... + 34409.

It is an arithmetic number, because the mean of its divisors is an integer number (6000540).

Almost surely, 2122525442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122525442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144012960).

122525442 is an abundant number, since it is smaller than the sum of its proper divisors (165500478).

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

122525442 is a wasteful number, since it uses less digits than its factorization.

122525442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3924 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 122525442 is about 11069.1211033216. The cubic root of 122525442 is about 496.6785744534.

The spelling of 122525442 in words is "one hundred twenty-two million, five hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1807 2502 3614 3767 5421 7534 10842 11301 16263 22602 32526 33903 48971 67806 97942 146913 293826 440739 523613 881478 1047226 1570839 3141678 4712517 6806969 9425034 13613938 20420907 40841814 61262721 122525442