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126555048 = 2334192541
BaseRepresentation
bin1111000101100…
…01001110101000
322211010122220000
413202301032220
5224344230143
620320303000
73064462104
oct742611650
9284118800
10126555048
1165489754
1236471a60
13202b0759
1412b44904
15b19cbd3
hex78b13a8

126555048 has 120 divisors (see below), whose sum is σ = 374801130. Its totient is φ = 39890880.

The previous prime is 126555001. The next prime is 126555049. The reversal of 126555048 is 840555621.

126555048 is a `hidden beast` number, since 1 + 2 + 65 + 550 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 14152644 = 10602^2 + 3762^2 .

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

It is not an unprimeable number, because it can be changed into a prime (126555049) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 233658 + ... + 234198.

Almost surely, 2126555048 is an apocalyptic number.

126555048 is a gapful number since it is divisible by the number (18) 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 126555048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187400565).

126555048 is an abundant number, since it is smaller than the sum of its proper divisors (248246082).

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

126555048 is a wasteful number, since it uses less digits than its factorization.

126555048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 126555048 is about 11249.6687951246. The cubic root of 126555048 is about 502.0648583152.

The spelling of 126555048 in words is "one hundred twenty-six million, five hundred fifty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 361 456 513 541 648 684 722 1026 1082 1083 1368 1444 1539 1623 2052 2164 2166 2888 3078 3246 3249 4104 4328 4332 4869 6156 6492 6498 8664 9738 9747 10279 12312 12984 12996 14607 19476 19494 20558 25992 29214 29241 30837 38952 38988 41116 43821 58428 58482 61674 77976 82232 87642 92511 116856 116964 123348 175284 185022 195301 233928 246696 277533 350568 370044 390602 555066 585903 740088 781204 832599 1110132 1171806 1562408 1665198 1757709 2220264 2343612 3330396 3515418 4687224 5273127 6660792 7030836 10546254 14061672 15819381 21092508 31638762 42185016 63277524 126555048