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75240636 = 223231312081
BaseRepresentation
bin1000111110000…
…01010010111100
312020120121202020
410133001102330
5123230200021
611244400140
71602351312
oct437012274
9166517666
1075240636
1139520449
1221246050
1312784cb3
149dc80b2
1569137c6
hex47c14bc

75240636 has 48 divisors (see below), whose sum is σ = 184681728. Its totient is φ = 23795200.

The previous prime is 75240611. The next prime is 75240643. The reversal of 75240636 is 63604257.

It is a super-2 number, since 2×752406362 = 11322306611368992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75240597 and 75240606.

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 15 ways as a sum of consecutive naturals, for example, 35116 + ... + 37196.

It is an arithmetic number, because the mean of its divisors is an integer number (3847536).

Almost surely, 275240636 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 75240636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92340864).

75240636 is an abundant number, since it is smaller than the sum of its proper divisors (109441092).

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

75240636 is a wasteful number, since it uses less digits than its factorization.

75240636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 75240636 is about 8674.1360376697. The cubic root of 75240636 is about 422.1668739493.

The spelling of 75240636 in words is "seventy-five million, two hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 131 138 262 276 393 524 786 1572 2081 3013 4162 6026 6243 8324 9039 12052 12486 18078 24972 36156 47863 95726 143589 191452 272611 287178 545222 574356 817833 1090444 1635666 3271332 6270053 12540106 18810159 25080212 37620318 75240636