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99668448 = 25331110487
BaseRepresentation
bin1011111000011…
…01000111100000
320221112200102000
411330031013200
5201003342243
613520124000
72320111365
oct574150740
9227480360
1099668448
1151295420
1229466600
1317858919
14d34646c
158b3b5d3
hex5f0d1e0

99668448 has 96 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 30199680.

The previous prime is 99668431. The next prime is 99668477. The reversal of 99668448 is 84486699.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×996684483 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99668394 and 99668403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261 + ... + 14747.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 299668448 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 99668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

99668448 is an abundant number, since it is smaller than the sum of its proper divisors (217488672).

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

99668448 is a wasteful number, since it uses less digits than its factorization.

99668448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517 (or 10503 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 99668448 is about 9983.4086363326. The cubic root of 99668448 is about 463.6453393670.

The spelling of 99668448 in words is "ninety-nine million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 10487 20974 31461 41948 62922 83896 94383 115357 125844 167792 188766 230714 251688 283149 335584 346071 377532 461428 503376 566298 692142 755064 922856 1006752 1038213 1132596 1384284 1510128 1845712 2076426 2265192 2768568 3020256 3114639 3691424 4152852 4530384 5537136 6229278 8305704 9060768 11074272 12458556 16611408 24917112 33222816 49834224 99668448