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106372448 = 2571336529
BaseRepresentation
bin1100101011100…
…01110101100000
321102011021120022
412111301311200
5204212404243
614315533012
72431102520
oct625616540
9242137508
10106372448
1155054216
122b75a168
13190651a0
14101ad680
159512b68
hex6571d60

106372448 has 48 divisors (see below), whose sum is σ = 257755680. Its totient is φ = 42080256.

The previous prime is 106372429. The next prime is 106372481. The reversal of 106372448 is 844273601.

It is a super-2 number, since 2×1063724482 = 22630195387025408, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15353 + ... + 21176.

It is an arithmetic number, because the mean of its divisors is an integer number (5369910).

Almost surely, 2106372448 is an apocalyptic number.

It is an amenable number.

106372448 is an abundant number, since it is smaller than the sum of its proper divisors (151383232).

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

106372448 is a wasteful number, since it uses less digits than its factorization.

106372448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36559 (or 36551 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 106372448 is about 10313.7019541967. The cubic root of 106372448 is about 473.8159955680.

The spelling of 106372448 in words is "one hundred six million, three hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 36529 73058 146116 255703 292232 474877 511406 584464 949754 1022812 1168928 1899508 2045624 3324139 3799016 4091248 6648278 7598032 8182496 13296556 15196064 26593112 53186224 106372448