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99032544 = 2534132939
BaseRepresentation
bin1011110011100…
…01110111100000
320220100101010000
411321301313200
5200323020134
613454340000
72311522422
oct571616740
9226311100
1099032544
11509a0686
12291ba600
1317695350
14d21c812
158a62e99
hex5e71de0

99032544 has 120 divisors (see below), whose sum is σ = 313762680. Its totient is φ = 30461184.

The previous prime is 99032539. The next prime is 99032551. The reversal of 99032544 is 44523099.

It is a super-2 number, since 2×990325442 = 19614889542223872, which contains 22 as substring.

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 = 99032499 and 99032508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32227 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (2614689).

Almost surely, 299032544 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 99032544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156881340).

99032544 is an abundant number, since it is smaller than the sum of its proper divisors (214730136).

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

99032544 is a wasteful number, since it uses less digits than its factorization.

99032544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 99032544 is about 9951.5096342213. The cubic root of 99032544 is about 462.6571858226.

The spelling of 99032544 in words is "ninety-nine million, thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 2939 3744 4212 5616 5878 8424 8817 11232 11756 16848 17634 23512 26451 33696 35268 38207 47024 52902 70536 76414 79353 94048 105804 114621 141072 152828 158706 211608 229242 238059 282144 305656 317412 343863 423216 458484 476118 611312 634824 687726 846432 916968 952236 1031589 1222624 1269648 1375452 1833936 1904472 2063178 2539296 2750904 3094767 3667872 3808944 4126356 5501808 6189534 7617888 8252712 11003616 12379068 16505424 24758136 33010848 49516272 99032544