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122942688 = 25311116423
BaseRepresentation
bin1110101001111…
…11010011100000
322120100010122220
413110333103200
5222433131223
620111031040
73021665331
oct724772340
9276303586
10122942688
1163441730
123520b480
131c61746b
1412484288
15abd76e3
hex753f4e0

122942688 has 48 divisors (see below), whose sum is σ = 352066176. Its totient is φ = 37255040.

The previous prime is 122942653. The next prime is 122942693. The reversal of 122942688 is 886249221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×1229426884 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57156 + ... + 59267.

It is an arithmetic number, because the mean of its divisors is an integer number (7334712).

Almost surely, 2122942688 is an apocalyptic number.

It is an amenable number.

122942688 is an abundant number, since it is smaller than the sum of its proper divisors (229123488).

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

122942688 is a wasteful number, since it uses less digits than its factorization.

122942688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116447 (or 116439 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 122942688 is about 11087.9523808501. The cubic root of 122942688 is about 497.2417291978.

The spelling of 122942688 in words is "one hundred twenty-two million, nine hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 116423 232846 349269 465692 698538 931384 1280653 1397076 1862768 2561306 2794152 3725536 3841959 5122612 5588304 7683918 10245224 11176608 15367836 20490448 30735672 40980896 61471344 122942688