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71428608 = 29335167
BaseRepresentation
bin1000100000111…
…10101000000000
311222101221122000
410100132220000
5121241203413
611030544000
71525063446
oct420365000
9158357560
1071428608
1137357409
121bb08000
1311a4bb64
1496b4b96
15640e073
hex441ea00

71428608 has 80 divisors (see below), whose sum is σ = 211474560. Its totient is φ = 23804928.

The previous prime is 71428607. The next prime is 71428613. The reversal of 71428608 is 80682417.

71428608 is a `hidden beast` number, since 7 + 1 + 42 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71428603) 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, 11241 + ... + 16407.

It is an arithmetic number, because the mean of its divisors is an integer number (2643432).

Almost surely, 271428608 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 71428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105737280).

71428608 is an abundant number, since it is smaller than the sum of its proper divisors (140045952).

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

71428608 is an equidigital number, since it uses as much as digits as its factorization.

71428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 71428608 is about 8451.5447108798. The cubic root of 71428608 is about 414.9133374950.

The spelling of 71428608 in words is "seventy-one million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 5167 6912 10334 13824 15501 20668 31002 41336 46503 62004 82672 93006 124008 139509 165344 186012 248016 279018 330688 372024 496032 558036 661376 744048 992064 1116072 1322752 1488096 1984128 2232144 2645504 2976192 3968256 4464288 5952384 7936512 8928576 11904768 17857152 23809536 35714304 71428608