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99241408 = 2671989131
BaseRepresentation
bin1011110101001…
…00110111000000
320220201222121201
411322210313000
5200401211113
613503030544
72313352360
oct572446700
9226658551
1099241408
11510235a2
122929b454
1317739436
14d2749a0
158aa4cdd
hex5ea4dc0

99241408 has 112 divisors (see below), whose sum is σ = 241401600. Its totient is φ = 39536640.

The previous prime is 99241391. The next prime is 99241421. The reversal of 99241408 is 80414299.

It is a happy number.

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

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, 757503 + ... + 757633.

Almost surely, 299241408 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 99241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

99241408 is an abundant number, since it is smaller than the sum of its proper divisors (142160192).

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

99241408 is a wasteful number, since it uses less digits than its factorization.

99241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 99241408 is about 9961.9981931337. The cubic root of 99241408 is about 462.9822122299.

The spelling of 99241408 in words is "ninety-nine million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 89 112 131 133 152 178 224 262 266 304 356 448 524 532 608 623 712 917 1048 1064 1216 1246 1424 1691 1834 2096 2128 2489 2492 2848 3382 3668 4192 4256 4978 4984 5696 6764 7336 8384 8512 9956 9968 11659 11837 13528 14672 17423 19912 19936 23318 23674 27056 29344 34846 39824 39872 46636 47348 54112 58688 69692 79648 81613 93272 94696 108224 139384 159296 163226 186544 189392 221521 278768 326452 373088 378784 443042 557536 652904 746176 757568 886084 1115072 1305808 1550647 1772168 2611616 3101294 3544336 5223232 6202588 7088672 12405176 14177344 24810352 49620704 99241408