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99708896 = 2573183173
BaseRepresentation
bin1011111000101…
…10111111100000
320221121201220002
411330112333200
5201011141041
613521035132
72320340330
oct574267740
9227551802
1099708896
1151312851
1229485aa8
1317871161
14d3570c0
158b4859b
hex5f16fe0

99708896 has 96 divisors (see below), whose sum is σ = 235726848. Its totient is φ = 40619520.

The previous prime is 99708881. The next prime is 99708899. The reversal of 99708896 is 69880799.

It is a super-3 number, since 3×997088963 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99708899) 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, 576266 + ... + 576438.

It is an arithmetic number, because the mean of its divisors is an integer number (2455488).

Almost surely, 299708896 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 99708896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117863424).

99708896 is an abundant number, since it is smaller than the sum of its proper divisors (136017952).

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

99708896 is a wasteful number, since it uses less digits than its factorization.

99708896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 56.

The square root of 99708896 is about 9985.4341918617. The cubic root of 99708896 is about 463.7080505885.

The spelling of 99708896 in words is "ninety-nine million, seven hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 83 112 124 166 173 217 224 248 332 346 434 496 581 664 692 868 992 1162 1211 1328 1384 1736 2324 2422 2573 2656 2768 3472 4648 4844 5146 5363 5536 6944 9296 9688 10292 10726 14359 18011 18592 19376 20584 21452 28718 36022 37541 38752 41168 42904 57436 72044 75082 82336 85808 100513 114872 144088 150164 171616 201026 229744 288176 300328 402052 445129 459488 576352 600656 804104 890258 1201312 1608208 1780516 3115903 3216416 3561032 6231806 7122064 12463612 14244128 24927224 49854448 99708896