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99274968 = 233213172367
BaseRepresentation
bin1011110101011…
…01000011011000
320220210200122200
411322231003120
5200403244333
613503450200
72313552252
oct572550330
9226720580
1099274968
1151046831
12292b6960
131774b7b0
14d282cd2
158aaec13
hex5ead0d8

99274968 has 144 divisors (see below), whose sum is σ = 308424480. Its totient is φ = 28670976.

The previous prime is 99274949. The next prime is 99274979. The reversal of 99274968 is 86947299.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270321 + ... + 270687.

Almost surely, 299274968 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 99274968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154212240).

99274968 is an abundant number, since it is smaller than the sum of its proper divisors (209149512).

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

99274968 is a wasteful number, since it uses less digits than its factorization.

99274968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 99274968 is about 9963.6824517846. The cubic root of 99274968 is about 463.0343945203.

The spelling of 99274968 in words is "ninety-nine million, two hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 289 306 312 367 408 442 468 578 612 663 734 867 884 936 1101 1156 1224 1326 1468 1734 1768 1989 2202 2312 2601 2652 2936 3303 3468 3757 3978 4404 4771 5202 5304 6239 6606 6936 7514 7956 8808 9542 10404 11271 12478 13212 14313 15028 15912 18717 19084 20808 22542 24956 26424 28626 30056 33813 37434 38168 42939 45084 49912 56151 57252 67626 74868 81107 85878 90168 106063 112302 114504 135252 149736 162214 171756 212126 224604 243321 270504 318189 324428 343512 424252 449208 486642 636378 648856 729963 848504 954567 973284 1272756 1378819 1459926 1909134 1946568 2545512 2757638 2919852 3818268 4136457 5515276 5839704 7636536 8272914 11030552 12409371 16545828 24818742 33091656 49637484 99274968