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99354948 = 223721115361
BaseRepresentation
bin1011110110000…
…00100101000100
320220221202100220
411323000211010
5200413324243
613505304340
72314334400
oct573004504
9226852326
1099354948
11510a0930
12293350b0
1317779014
14d2a4100
158ac8783
hex5ec0944

99354948 has 72 divisors (see below), whose sum is σ = 294213024. Its totient is φ = 25804800.

The previous prime is 99354943. The next prime is 99354989. The reversal of 99354948 is 84945399.

It is a self number, because there is not a number n which added to its sum of digits gives 99354948.

It is not an unprimeable number, because it can be changed into a prime (99354943) 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 23 ways as a sum of consecutive naturals, for example, 1213 + ... + 14148.

It is an arithmetic number, because the mean of its divisors is an integer number (4086292).

Almost surely, 299354948 is an apocalyptic number.

99354948 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99354948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147106512).

99354948 is an abundant number, since it is smaller than the sum of its proper divisors (194858076).

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

99354948 is a wasteful number, since it uses less digits than its factorization.

99354948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15393 (or 15384 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 99354948 is about 9967.6952200597. The cubic root of 99354948 is about 463.1587076640.

The spelling of 99354948 in words is "ninety-nine million, three hundred fifty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 15361 30722 46083 61444 92166 107527 168971 184332 215054 322581 337942 430108 506913 645162 675884 752689 1013826 1182797 1290324 1505378 2027652 2258067 2365594 3010756 3548391 4516134 4731188 7096782 8279579 9032268 14193564 16559158 24838737 33118316 49677474 99354948