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71858048 = 271733023
BaseRepresentation
bin1000100100001…
…11011110000000
312000012202201012
410102013132000
5121343424143
611044100052
71531532453
oct422073600
9160182635
1071858048
1137620019
1220094628
1311b6c472
14978749a
156496418
hex4487780

71858048 has 32 divisors (see below), whose sum is σ = 151580160. Its totient is φ = 33814528.

The previous prime is 71858041. The next prime is 71858069. The reversal of 71858048 is 84085817.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 71857996 and 71858014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71858041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14336 + ... + 18687.

It is an arithmetic number, because the mean of its divisors is an integer number (4736880).

Almost surely, 271858048 is an apocalyptic number.

It is an amenable number.

71858048 is an abundant number, since it is smaller than the sum of its proper divisors (79722112).

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

71858048 is a wasteful number, since it uses less digits than its factorization.

71858048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33054 (or 33042 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 71858048 is about 8476.9126455332. The cubic root of 71858048 is about 415.7431846844.

The spelling of 71858048 in words is "seventy-one million, eight hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 33023 66046 132092 264184 528368 561391 1056736 1122782 2113472 2245564 4226944 4491128 8982256 17964512 35929024 71858048