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71942688 = 253383267
BaseRepresentation
bin1000100100111…
…00001000100000
312000101001211000
410102130020200
5121404131223
611045552000
71532334306
oct422341040
9160331730
1071942688
1137678674
1220115600
1311b9bb4c
1497aa276
1564b1543
hex449c220

71942688 has 48 divisors (see below), whose sum is σ = 209835360. Its totient is φ = 23980608.

The previous prime is 71942681. The next prime is 71942701. The reversal of 71942688 is 88624917.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (71942681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40770 + ... + 42497.

It is an arithmetic number, because the mean of its divisors is an integer number (4371570).

Almost surely, 271942688 is an apocalyptic number.

It is an amenable number.

71942688 is an abundant number, since it is smaller than the sum of its proper divisors (137892672).

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

71942688 is a wasteful number, since it uses less digits than its factorization.

71942688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83286 (or 83272 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 71942688 is about 8481.9035599328. The cubic root of 71942688 is about 415.9063521942.

The spelling of 71942688 in words is "seventy-one million, nine hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 83267 166534 249801 333068 499602 666136 749403 999204 1332272 1498806 1998408 2248209 2664544 2997612 3996816 4496418 5995224 7993632 8992836 11990448 17985672 23980896 35971344 71942688