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99963248 = 24711411979
BaseRepresentation
bin1011111010101…
…01000101110000
320222002122210112
411331111011300
5201042310443
613530320452
72322450020
oct575250560
9228078715
1099963248
1151476960
1229589128
131792cb68
14d3c1a80
158b98b18
hex5f55170

99963248 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 37977600.

The previous prime is 99963217. The next prime is 99963271. The reversal of 99963248 is 84236999.

It is a junction number, because it is equal to n+sod(n) for n = 99963196 and 99963205.

It is a congruent number.

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, 49523 + ... + 51501.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 299963248 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 99963248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

99963248 is an abundant number, since it is smaller than the sum of its proper divisors (147520912).

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

99963248 is a wasteful number, since it uses less digits than its factorization.

99963248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its digits is 839808, while the sum is 50.

The square root of 99963248 is about 9998.1622311303. The cubic root of 99963248 is about 464.1020138362.

The spelling of 99963248 in words is "ninety-nine million, nine hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 1979 2296 3157 3608 3958 4592 6314 7216 7916 12628 13853 15832 21769 25256 27706 31664 43538 50512 55412 81139 87076 110824 152383 162278 174152 221648 304766 324556 348304 567973 609532 649112 892529 1135946 1219064 1298224 1785058 2271892 2438128 3570116 4543784 6247703 7140232 9087568 12495406 14280464 24990812 49981624 99963248