| Base | Representation |
|---|---|
| bin | 1001000111111… |
| … | …00011011000000 |
| 3 | 12100000012100000 |
| 4 | 10203330123000 |
| 5 | 124043001032 |
| 6 | 11332200000 |
| 7 | 1616335410 |
| oct | 443743300 |
| 9 | 170005300 |
| 10 | 76531392 |
| 11 | 3a222193 |
| 12 | 21769000 |
| 13 | 12b17662 |
| 14 | a242640 |
| 15 | 6abae7c |
| hex | 48fc6c0 |
76531392 has 336 divisors, whose sum is σ = 281066240. Its totient is φ = 20155392.
The previous prime is 76531391. The next prime is 76531409. The reversal of 76531392 is 29313567.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×765313922 = 11714107922915328, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (34020) is a multiple of the sum of its prime factors (90).
It is a zygodrome in base 6.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (76531391) 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, 2068398 + ... + 2068434.
Almost surely, 276531392 is an apocalyptic number.
76531392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140533120).
76531392 is an abundant number, since it is smaller than the sum of its proper divisors (204534848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76531392 is a wasteful number, since it uses less digits than its factorization.
76531392 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90 (or 68 counting only the distinct ones).
The product of its digits is 34020, while the sum is 36.
The square root of 76531392 is about 8748.2222193998. Note that the first 4 decimals coincide. The cubic root of 76531392 is about 424.5672957028.
It can be divided in two parts, 7653 and 1392, that added together give a triangular number (9045 = T134).
The spelling of 76531392 in words is "seventy-six million, five hundred thirty-one thousand, three hundred ninety-two".
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