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107146848 = 2531577109
BaseRepresentation
bin1100110001011…
…10111001100000
321110121121211210
412120232321200
5204412144343
614344310120
72440506324
oct630567140
9243547753
10107146848
1155533016
122ba72340
1319276803
1410331984
159617333
hex662ee60

107146848 has 48 divisors (see below), whose sum is σ = 283091760. Its totient is φ = 35483136.

The previous prime is 107146847. The next prime is 107146873. The reversal of 107146848 is 848641701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1071468482 = 22960894072670208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107146847) 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 7 ways as a sum of consecutive naturals, for example, 11518 + ... + 18626.

It is an arithmetic number, because the mean of its divisors is an integer number (5897745).

Almost surely, 2107146848 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 107146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141545880).

107146848 is an abundant number, since it is smaller than the sum of its proper divisors (175944912).

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

107146848 is a wasteful number, since it uses less digits than its factorization.

107146848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 107146848 is about 10351.1761650549. The cubic root of 107146848 is about 474.9630227910.

The spelling of 107146848 in words is "one hundred seven million, one hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7109 7536 14218 15072 21327 28436 42654 56872 85308 113744 170616 227488 341232 682464 1116113 2232226 3348339 4464452 6696678 8928904 13393356 17857808 26786712 35715616 53573424 107146848