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96790848 = 2637116547
BaseRepresentation
bin1011100010011…
…10100101000000
320202010111002020
411301032211000
5144234301343
613334321440
72253465030
oct561164500
9222114066
1096790848
114a6aa440
12284b9280
131708bbbb
14cbd78c0
15876db83
hex5c4e940

96790848 has 112 divisors (see below), whose sum is σ = 319332864. Its totient is φ = 25136640.

The previous prime is 96790823. The next prime is 96790901. The reversal of 96790848 is 84809769.

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 96790848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11511 + ... + 18057.

Almost surely, 296790848 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 96790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159666432).

96790848 is an abundant number, since it is smaller than the sum of its proper divisors (222542016).

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

96790848 is a wasteful number, since it uses less digits than its factorization.

96790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6570 counting only the distinct ones).

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

The square root of 96790848 is about 9838.2339878659. The cubic root of 96790848 is about 459.1396141665.

The spelling of 96790848 in words is "ninety-six million, seven hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 6547 7392 13094 14784 19641 26188 39282 45829 52376 72017 78564 91658 104752 137487 144034 157128 183316 209504 216051 274974 288068 314256 366632 419008 432102 504119 549948 576136 628512 733264 864204 1008238 1099896 1152272 1257024 1466528 1512357 1728408 2016476 2199792 2304544 2933056 3024714 3456816 4032952 4399584 4609088 6049428 6913632 8065904 8799168 12098856 13827264 16131808 24197712 32263616 48395424 96790848