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98744672 = 2513219312
BaseRepresentation
bin1011110001010…
…11100101100000
320212210202020002
411320223211200
5200234312142
613444235132
72306213225
oct570534540
9225722202
1098744672
1150814374
122909baa8
13175c4300
14d18594c
158a07a32
hex5e2b960

98744672 has 108 divisors (see below), whose sum is σ = 228965940. Its totient is φ = 41783040.

The previous prime is 98744651. The next prime is 98744693. The reversal of 98744672 is 27644789.

It is an interprime number because it is at equal distance from previous prime (98744651) and next prime (98744693).

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 17 ways as a sum of consecutive naturals, for example, 3185297 + ... + 3185327.

It is an arithmetic number, because the mean of its divisors is an integer number (2120055).

Almost surely, 298744672 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 98744672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114482970).

98744672 is an abundant number, since it is smaller than the sum of its proper divisors (130221268).

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

98744672 is a wasteful number, since it uses less digits than its factorization.

98744672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 98744672 is about 9937.0353727860. The cubic root of 98744672 is about 462.2084602384.

The spelling of 98744672 in words is "ninety-eight million, seven hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 169 208 247 248 304 338 403 416 494 496 589 608 676 806 961 988 992 1178 1352 1612 1922 1976 2356 2704 3211 3224 3844 3952 4712 5239 5408 6422 6448 7657 7688 7904 9424 10478 12493 12844 12896 15314 15376 18259 18848 20956 24986 25688 30628 30752 36518 41912 49972 51376 61256 73036 83824 99541 99944 102752 122512 146072 162409 167648 199082 199888 237367 245024 292144 324818 398164 399776 474734 584288 649636 796328 949468 1299272 1592656 1898936 2598544 3085771 3185312 3797872 5197088 6171542 7595744 12343084 24686168 49372336 98744672