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122492552 = 2372132432
BaseRepresentation
bin1110100110100…
…01011010001000
322112111021012012
413103101122020
5222324230202
620053235052
73015112100
oct723213210
9275437165
10122492552
1163164516
1235032a88
131c4ba600
14123a8200
15ab49152
hex74d1688

122492552 has 108 divisors (see below), whose sum is σ = 296188245. Its totient is φ = 47331648.

The previous prime is 122492521. The next prime is 122492561. The reversal of 122492552 is 255294221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 104734756 + 17757796 = 10234^2 + 4214^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7826.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2848643 + ... + 2848685.

Almost surely, 2122492552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122492552

122492552 is an abundant number, since it is smaller than the sum of its proper divisors (173695693).

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

122492552 is a wasteful number, since it uses less digits than its factorization.

122492552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 65 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 122492552 is about 11067.6353391318. The cubic root of 122492552 is about 496.6341286633.

Multiplying 122492552 by its sum of digits (32), we get a square (3919761664 = 626082).

The spelling of 122492552 in words is "one hundred twenty-two million, four hundred ninety-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 49 52 56 86 91 98 104 169 172 182 196 301 338 344 364 392 559 602 637 676 728 1118 1183 1204 1274 1352 1849 2107 2236 2366 2408 2548 3698 3913 4214 4472 4732 5096 7267 7396 7826 8281 8428 9464 12943 14534 14792 15652 16562 16856 24037 25886 27391 29068 31304 33124 48074 50869 51772 54782 58136 66248 90601 96148 101738 103544 109564 168259 181202 192296 203476 219128 312481 336518 356083 362404 406952 624962 673036 712166 724808 1177813 1249924 1346072 1424332 2187367 2355626 2499848 2848664 4374734 4711252 8749468 9422504 15311569 17498936 30623138 61246276 122492552