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49950054 = 23371141293
BaseRepresentation
bin1011111010001…
…0110101100110
310110222201121000
42332202311212
5100241400204
64542334130
71144365660
oct276426546
9113881530
1049950054
1126217240
121488a346
13a46b75b
1468c3530
1545ba039
hex2fa2d66

49950054 has 128 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 12614400.

The previous prime is 49950023. The next prime is 49950059. The reversal of 49950054 is 45005994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49950059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170332 + ... + 170624.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 249950054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49950054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

49950054 is an abundant number, since it is smaller than the sum of its proper divisors (92298906).

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

49950054 is a wasteful number, since it uses less digits than its factorization.

49950054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49950054 is about 7067.5352139201. The cubic root of 49950054 is about 368.2804405712.

The spelling of 49950054 in words is "forty-nine million, nine hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 41 42 54 63 66 77 82 99 123 126 154 189 198 231 246 287 293 297 369 378 451 462 574 586 594 693 738 861 879 902 1107 1353 1386 1722 1758 2051 2079 2214 2583 2637 2706 3157 3223 4059 4102 4158 5166 5274 6153 6314 6446 7749 7911 8118 9471 9669 12013 12177 12306 15498 15822 18459 18942 19338 22561 24026 24354 28413 29007 36039 36918 45122 55377 56826 58014 67683 72078 84091 85239 87021 108117 110754 132143 135366 168182 170478 174042 203049 216234 252273 264286 324351 396429 406098 504546 609147 648702 756819 792858 925001 1189287 1218294 1513638 1850002 2270457 2378574 2775003 3567861 4540914 5550006 7135722 8325009 16650018 24975027 49950054