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99481728 = 2733161137
BaseRepresentation
bin1011110110111…
…11100010000000
320221012012021110
411323133202000
5200431403403
613512123320
72315403123
oct573374200
9227165243
1099481728
1151178105
1229396540
13177c1938
14d2d83ba
158b01103
hex5edf880

99481728 has 128 divisors (see below), whose sum is σ = 279267840. Its totient is φ = 31334400.

The previous prime is 99481717. The next prime is 99481757. The reversal of 99481728 is 82718499.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×994817282 = 19793228411731968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726076 + ... + 726212.

It is an arithmetic number, because the mean of its divisors is an integer number (2181780).

Almost surely, 299481728 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 99481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139633920).

99481728 is an abundant number, since it is smaller than the sum of its proper divisors (179786112).

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

99481728 is a wasteful number, since it uses less digits than its factorization.

99481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 99481728 is about 9974.0527369771. The cubic root of 99481728 is about 463.3556255628.

The spelling of 99481728 in words is "ninety-nine million, four hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 128 137 183 186 192 244 248 274 366 372 384 411 488 496 548 732 744 822 976 992 1096 1464 1488 1644 1891 1952 1984 2192 2928 2976 3288 3782 3904 3968 4247 4384 5673 5856 5952 6576 7564 7808 8357 8494 8768 11346 11712 11904 12741 13152 15128 16714 16988 17536 22692 23424 25071 25482 26304 30256 33428 33976 45384 50142 50964 52608 60512 66856 67952 90768 100284 101928 121024 133712 135904 181536 200568 203856 242048 259067 267424 271808 363072 401136 407712 518134 534848 543616 726144 777201 802272 815424 1036268 1069696 1554402 1604544 1630848 2072536 3108804 3209088 4145072 6217608 8290144 12435216 16580288 24870432 33160576 49740864 99481728