Base | Representation |
---|---|
bin | 1001010000000… |
… | …00010110000110 |
3 | 12102000021202100 |
4 | 10220000112012 |
5 | 124331033123 |
6 | 11411052530 |
7 | 1631361342 |
oct | 450002606 |
9 | 172007670 |
10 | 77596038 |
11 | 3a88a063 |
12 | 21ba1146 |
13 | 130cb120 |
14 | a43c622 |
15 | 6c2b643 |
hex | 4a00586 |
77596038 has 96 divisors (see below), whose sum is σ = 197084160. Its totient is φ = 21850560.
The previous prime is 77596003. The next prime is 77596039. The reversal of 77596038 is 83069577.
It is a happy number.
It is a super-2 number, since 2×775960382 = 12042290226594888, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 77595984 and 77596002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (77596039) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137545 + ... + 138107.
It is an arithmetic number, because the mean of its divisors is an integer number (2052960).
Almost surely, 277596038 is an apocalyptic number.
77596038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 77596038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98542080).
77596038 is an abundant number, since it is smaller than the sum of its proper divisors (119488122).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77596038 is a wasteful number, since it uses less digits than its factorization.
77596038 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 634 (or 631 counting only the distinct ones).
The product of its (nonzero) digits is 317520, while the sum is 45.
The square root of 77596038 is about 8808.8613339069. The cubic root of 77596038 is about 426.5269878338.
The spelling of 77596038 in words is "seventy-seven million, five hundred ninety-six thousand, thirty-eight".
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