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107744352 = 2532414657
BaseRepresentation
bin1100110110000…
…00110001100000
321111201222110120
412123000301200
5210040304402
614405200240
72445545322
oct633006140
9244658416
10107744352
1155900a21
1230100080
1319425771
1410449612
1596d43bc
hex66c0c60

107744352 has 48 divisors (see below), whose sum is σ = 284063472. Its totient is φ = 35758080.

The previous prime is 107744341. The next prime is 107744381. The reversal of 107744352 is 253447701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20808 + ... + 25464.

It is an arithmetic number, because the mean of its divisors is an integer number (5917989).

Almost surely, 2107744352 is an apocalyptic number.

107744352 is a gapful number since it is divisible by the number (12) 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 107744352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142031736).

107744352 is an abundant number, since it is smaller than the sum of its proper divisors (176319120).

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

107744352 is a wasteful number, since it uses less digits than its factorization.

107744352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 107744352 is about 10379.9976878610. The cubic root of 107744352 is about 475.8442632482.

The spelling of 107744352 in words is "one hundred seven million, seven hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 4657 5784 7712 9314 11568 13971 18628 23136 27942 37256 55884 74512 111768 149024 223536 447072 1122337 2244674 3367011 4489348 6734022 8978696 13468044 17957392 26936088 35914784 53872176 107744352