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99994048 = 26711103197
BaseRepresentation
bin1011111010111…
…00100111000000
320222011020001021
411331130213000
5201044302143
613531115224
72322635560
oct575344700
9228136037
1099994048
1151498010
12295a2b14
1317940b9b
14d3ccda0
158ba2ced
hex5f5c9c0

99994048 has 112 divisors (see below), whose sum is σ = 251057664. Its totient is φ = 38384640.

The previous prime is 99994043. The next prime is 99994061. The reversal of 99994048 is 84049999.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 99993986 and 99994004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99994043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507486 + ... + 507682.

Almost surely, 299994048 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 99994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125528832).

99994048 is an abundant number, since it is smaller than the sum of its proper divisors (151063616).

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

99994048 is a wasteful number, since it uses less digits than its factorization.

99994048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 99994048 is about 9999.7023955716. The cubic root of 99994048 is about 464.1496742663.

Subtracting from 99994048 its reverse (84049999), we obtain a square (15944049 = 39932).

The spelling of 99994048 in words is "ninety-nine million, nine hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 112 154 176 197 206 224 308 352 394 412 448 616 704 721 788 824 1133 1232 1379 1442 1576 1648 2167 2266 2464 2758 2884 3152 3296 4334 4532 4928 5516 5768 6304 6592 7931 8668 9064 11032 11536 12608 15169 15862 17336 18128 20291 22064 23072 30338 31724 34672 36256 40582 44128 46144 60676 63448 69344 72512 81164 88256 121352 126896 138688 142037 162328 223201 242704 253792 284074 324656 446402 485408 507584 568148 649312 892804 970816 1136296 1298624 1562407 1785608 2272592 3124814 3571216 4545184 6249628 7142432 9090368 12499256 14284864 24998512 49997024 99994048