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107098848 = 25364591
BaseRepresentation
bin1100110001000…
…11001011100000
321110112012000000
412120203023200
5204404130343
614343300000
72440216353
oct630431340
9243465000
10107098848
11554aaa4a
122ba4a600
131925a9cc
141031c29a
159607ed3
hex66232e0

107098848 has 84 divisors (see below), whose sum is σ = 316200528. Its totient is φ = 35691840.

The previous prime is 107098837. The next prime is 107098867. The reversal of 107098848 is 848890701.

It is a super-2 number, since 2×1070988482 = 22940326485854208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21033 + ... + 25623.

It is an arithmetic number, because the mean of its divisors is an integer number (3764292).

Almost surely, 2107098848 is an apocalyptic number.

107098848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107098848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100264).

107098848 is an abundant number, since it is smaller than the sum of its proper divisors (209101680).

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

107098848 is an frugal number, since it uses more digits than its factorization.

107098848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 107098848 is about 10348.8573282271. The cubic root of 107098848 is about 474.8920870276.

The spelling of 107098848 in words is "one hundred seven million, ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 4591 5832 7776 9182 11664 13773 18364 23328 27546 36728 41319 55092 73456 82638 110184 123957 146912 165276 220368 247914 330552 371871 440736 495828 661104 743742 991656 1115613 1322208 1487484 1983312 2231226 2974968 3346839 3966624 4462452 5949936 6693678 8924904 11899872 13387356 17849808 26774712 35699616 53549424 107098848