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98985432 = 23371361743
BaseRepresentation
bin1011110011001…
…10010111011000
320220020222111010
411321212113120
5200320013212
613453333520
72311235160
oct571462730
9226228433
1098985432
1150969247
12291972a0
1317679a80
14d2095a0
158a5403c
hex5e665d8

98985432 has 128 divisors (see below), whose sum is σ = 309980160. Its totient is φ = 25643520.

The previous prime is 98985427. The next prime is 98985437. The reversal of 98985432 is 23458989.

It is an interprime number because it is at equal distance from previous prime (98985427) and next prime (98985437).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98985437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132853 + ... + 133595.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 298985432 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 98985432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

98985432 is an abundant number, since it is smaller than the sum of its proper divisors (210994728).

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

98985432 is a wasteful number, since it uses less digits than its factorization.

98985432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 98985432 is about 9949.1422745883. The cubic root of 98985432 is about 462.5838087227.

The spelling of 98985432 in words is "ninety-eight million, nine hundred eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 61 78 84 91 104 122 156 168 182 183 244 273 312 364 366 427 488 546 728 732 743 793 854 1092 1281 1464 1486 1586 1708 2184 2229 2379 2562 2972 3172 3416 4458 4758 5124 5201 5551 5944 6344 8916 9516 9659 10248 10402 11102 15603 16653 17832 19032 19318 20804 22204 28977 31206 33306 38636 41608 44408 45323 57954 62412 66612 67613 77272 90646 115908 124824 133224 135226 135969 181292 202839 231816 270452 271938 317261 362584 405678 540904 543876 589199 634522 811356 951783 1087752 1178398 1269044 1622712 1767597 1903566 2356796 2538088 3535194 3807132 4124393 4713592 7070388 7614264 8248786 12373179 14140776 16497572 24746358 32995144 49492716 98985432