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99362052 = 2234734201
BaseRepresentation
bin1011110110000…
…10010100000100
320220222010010000
411323002110010
5200414041202
613505401300
72314364166
oct573022404
9226863100
1099362052
11510a61a9
1229339230
131777c31a
14d2a6936
158aca91c
hex5ec2504

99362052 has 60 divisors (see below), whose sum is σ = 263372956. Its totient is φ = 32659200.

The previous prime is 99362041. The next prime is 99362063. The reversal of 99362052 is 25026399.

It is an interprime number because it is at equal distance from previous prime (99362041) and next prime (99362063).

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 72488196 = 5184^2 + 8514^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 99361998 and 99362016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21552 + ... + 25752.

Almost surely, 299362052 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 99362052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131686478).

99362052 is an abundant number, since it is smaller than the sum of its proper divisors (164010904).

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

99362052 is a wasteful number, since it uses less digits than its factorization.

99362052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 99362052 is about 9968.0515648747. The cubic root of 99362052 is about 463.1697462052.

The spelling of 99362052 in words is "ninety-nine million, three hundred sixty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 4201 5913 7884 8402 11826 12603 16804 23652 25206 37809 50412 75618 113427 151236 226854 306673 340281 453708 613346 680562 920019 1226692 1361124 1840038 2760057 3680076 5520114 8280171 11040228 16560342 24840513 33120684 49681026 99362052