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99048768 = 2637135669
BaseRepresentation
bin1011110011101…
…01110101000000
320220101012100220
411321311311000
5200324030033
613454543040
72311620630
oct571656500
9226335326
1099048768
1150a01895
1229207a80
131769c850
14d2246c0
158a67bb3
hex5e75d40

99048768 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 26118144.

The previous prime is 99048739. The next prime is 99048791. The reversal of 99048768 is 86784099.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99048768.

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, 14638 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 299048768 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 99048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

99048768 is an abundant number, since it is smaller than the sum of its proper divisors (223551552).

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

99048768 is a wasteful number, since it uses less digits than its factorization.

99048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 99048768 is about 9952.3247535438. The cubic root of 99048768 is about 462.6824493708.

The spelling of 99048768 in words is "ninety-nine million, forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5669 5824 8736 11338 17007 17472 22676 34014 39683 45352 68028 73697 79366 90704 119049 136056 147394 158732 181408 221091 238098 272112 294788 317464 362816 442182 476196 515879 544224 589576 634928 884364 952392 1031758 1088448 1179152 1269856 1547637 1768728 1904784 2063516 2358304 2539712 3095274 3537456 3809568 4127032 4716608 6190548 7074912 7619136 8254064 12381096 14149824 16508128 24762192 33016256 49524384 99048768