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99950058 = 23313173823
BaseRepresentation
bin1011111010100…
…01110111101010
320222001222201000
411331101313222
5201041400213
613530135430
72322363405
oct575216752
9228058630
1099950058
1151467a5a
1229581576
1317926b60
14d3bad3c
158b94c73
hex5f51dea

99950058 has 64 divisors (see below), whose sum is σ = 240871680. Its totient is φ = 30538944.

The previous prime is 99950047. The next prime is 99950063. The reversal of 99950058 is 85005999.

99950058 is a `hidden beast` number, since 9 + 99 + 500 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99949995 and 99950022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121035 + ... + 121857.

It is an arithmetic number, because the mean of its divisors is an integer number (3763620).

Almost surely, 299950058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99950058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120435840).

99950058 is an abundant number, since it is smaller than the sum of its proper divisors (140921622).

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

99950058 is a wasteful number, since it uses less digits than its factorization.

99950058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 99950058 is about 9997.5025881467. The cubic root of 99950058 is about 464.0816004178.

The spelling of 99950058 in words is "ninety-nine million, nine hundred fifty thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 173 234 346 351 519 702 823 1038 1557 1646 2249 2469 3114 4498 4671 4938 6747 7407 9342 10699 13494 14814 20241 21398 22221 32097 40482 44442 60723 64194 96291 121446 142379 192582 284758 288873 427137 577746 854274 1281411 1850927 2562822 3701854 3844233 5552781 7688466 11105562 16658343 33316686 49975029 99950058