Search a number
-
+
99988056 = 23327296841
BaseRepresentation
bin1011111010110…
…11001001011000
320222010220211100
411331123021120
5201044104211
613531031400
72322612240
oct575331130
9228126740
1099988056
1151493563
122959b560
131793b23c
14d3cab20
158ba1156
hex5f5b258

99988056 has 96 divisors (see below), whose sum is σ = 320205600. Its totient is φ = 27578880.

The previous prime is 99988037. The next prime is 99988069. The reversal of 99988056 is 65088999.

It is a super-2 number, since 2×999880562 = 19995222685318272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99987993 and 99988011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11196 + ... + 18036.

It is an arithmetic number, because the mean of its divisors is an integer number (3335475).

Almost surely, 299988056 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 99988056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160102800).

99988056 is an abundant number, since it is smaller than the sum of its proper divisors (220217544).

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

99988056 is a wasteful number, since it uses less digits than its factorization.

99988056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 99988056 is about 9999.4027821665. The cubic root of 99988056 is about 464.1404029131.

The spelling of 99988056 in words is "ninety-nine million, nine hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 6841 7308 13682 14616 20523 27364 41046 47887 54728 61569 82092 95774 123138 143661 164184 191548 198389 246276 287322 383096 396778 430983 492552 574644 595167 793556 861966 1149288 1190334 1388723 1587112 1723932 1785501 2380668 2777446 3447864 3571002 4166169 4761336 5554892 7142004 8332338 11109784 12498507 14284008 16664676 24997014 33329352 49994028 99988056