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99934464 = 283729641
BaseRepresentation
bin1011111010011…
…10000100000000
320222001012022110
411331032010000
5201040400324
613525535320
72322300060
oct575160400
9228035273
1099934464
1151457273
1229574540
131791ca26
14d3b53a0
158b90329
hex5f4e100

99934464 has 144 divisors (see below), whose sum is σ = 314939520. Its totient is φ = 27525120.

The previous prime is 99934463. The next prime is 99934481. The reversal of 99934464 is 46443999.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99934463) by changing a digit.

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, 155584 + ... + 156224.

It is an arithmetic number, because the mean of its divisors is an integer number (2187080).

Almost surely, 299934464 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 99934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157469760).

99934464 is an abundant number, since it is smaller than the sum of its proper divisors (215005056).

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

99934464 is a wasteful number, since it uses less digits than its factorization.

99934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 99934464 is about 9996.7226629531. The cubic root of 99934464 is about 464.0574641474.

The spelling of 99934464 in words is "ninety-nine million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 641 672 696 768 812 896 928 1218 1282 1344 1392 1624 1792 1856 1923 2436 2564 2688 2784 3248 3712 3846 4487 4872 5128 5376 5568 6496 7424 7692 8974 9744 10256 11136 12992 13461 15384 17948 18589 19488 20512 22272 25984 26922 30768 35896 37178 38976 41024 51968 53844 55767 61536 71792 74356 77952 82048 107688 111534 123072 130123 143584 148712 155904 164096 215376 223068 246144 260246 287168 297424 390369 430752 446136 492288 520492 574336 594848 780738 861504 892272 1040984 1148672 1189696 1561476 1723008 1784544 2081968 2379392 3122952 3446016 3569088 4163936 4758784 6245904 7138176 8327872 12491808 14276352 16655744 24983616 33311488 49967232 99934464