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99013752 = 233531253
BaseRepresentation
bin1011110011011…
…01010001111000
320220022102100000
411321231101320
5200321420002
613454113000
72311413555
oct571552170
9226272300
1099013752
1150988552
12291ab760
1317689926
14d215a2c
158a5c61c
hex5e6d478

99013752 has 144 divisors (see below), whose sum is σ = 292776120. Its totient is φ = 31337280.

The previous prime is 99013751. The next prime is 99013753. The reversal of 99013752 is 25731099.

It is an interprime number because it is at equal distance from previous prime (99013751) and next prime (99013753).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99013751) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1868158 + ... + 1868210.

Almost surely, 299013752 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 99013752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146388060).

99013752 is an abundant number, since it is smaller than the sum of its proper divisors (193762368).

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

99013752 is a wasteful number, since it uses less digits than its factorization.

99013752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99013752 is about 9950.5654110709. The cubic root of 99013752 is about 462.6279200094.

The spelling of 99013752 in words is "ninety-nine million, thirteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 81 93 106 108 124 159 162 186 212 216 243 248 279 318 324 372 424 477 486 558 636 648 744 837 954 961 972 1116 1272 1431 1643 1674 1908 1922 1944 2232 2511 2862 2883 3286 3348 3816 3844 4293 4929 5022 5724 5766 6572 6696 7533 7688 8586 8649 9858 10044 11448 11532 12879 13144 14787 15066 17172 17298 19716 20088 23064 25758 25947 29574 30132 34344 34596 39432 44361 50933 51516 51894 59148 60264 69192 77841 88722 101866 103032 103788 118296 133083 152799 155682 177444 203732 207576 233523 266166 305598 311364 354888 399249 407464 458397 467046 532332 611196 622728 798498 916794 934092 1064664 1222392 1375191 1596996 1833588 1868184 2750382 3193992 3667176 4125573 5500764 8251146 11001528 12376719 16502292 24753438 33004584 49506876 99013752