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98712152 = 23711376171
BaseRepresentation
bin1011110001000…
…11101001011000
320212202002121122
411320203221120
5200232242102
613443424412
72306016350
oct570435130
9225662548
1098712152
11507a19a0
1229085108
13175b2576
14d177b60
1589ed0a2
hex5e23a58

98712152 has 128 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 36288000.

The previous prime is 98712139. The next prime is 98712157. The reversal of 98712152 is 25121789.

It is a super-3 number, since 3×987121523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98712157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1390277 + ... + 1390347.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 298712152 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 98712152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

98712152 is an abundant number, since it is smaller than the sum of its proper divisors (145557928).

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

98712152 is a wasteful number, since it uses less digits than its factorization.

98712152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 98712152 is about 9935.3989351208. The cubic root of 98712152 is about 462.1577143122.

The spelling of 98712152 in words is "ninety-eight million, seven hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 61 71 74 77 88 122 142 148 154 244 259 284 296 308 407 427 488 497 518 568 616 671 781 814 854 994 1036 1342 1562 1628 1708 1988 2072 2257 2627 2684 2849 3124 3256 3416 3976 4331 4514 4697 5254 5368 5467 5698 6248 8662 9028 9394 10508 10934 11396 15799 17324 18056 18389 18788 21016 21868 22792 24827 28897 30317 31598 34648 36778 37576 43736 47641 49654 57794 60634 63196 73556 95282 99308 115588 121268 126392 147112 160247 173789 190564 198616 202279 231176 242536 320494 333487 347578 381128 404558 640988 666974 695156 809116 1121729 1281976 1333948 1390312 1618232 1762717 2243458 2667896 3525434 4486916 7050868 8973832 12339019 14101736 24678038 49356076 98712152