Base | Representation |
---|---|
bin | 1000101100010… |
… | …00010111011000 |
3 | 12002012020010100 |
4 | 10112020113120 |
5 | 122131112141 |
6 | 11122415400 |
7 | 1543504314 |
oct | 426102730 |
9 | 162166110 |
10 | 72910296 |
11 | 38179648 |
12 | 20501560 |
13 | 1214a3b4 |
14 | 997cb44 |
15 | 66030b6 |
hex | 45885d8 |
72910296 has 96 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 22825152.
The previous prime is 72910289. The next prime is 72910307. The reversal of 72910296 is 69201927.
72910296 = 4292 + 4302 + ... + 6672.
It is a super-2 number, since 2×729102962 = 10631822525615232, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 72910296.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304945 + ... + 305183.
It is an arithmetic number, because the mean of its divisors is an integer number (2184000).
Almost surely, 272910296 is an apocalyptic number.
72910296 is a gapful number since it is divisible by the number (76) 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 72910296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).
72910296 is an abundant number, since it is smaller than the sum of its proper divisors (136753704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72910296 is a wasteful number, since it uses less digits than its factorization.
72910296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 493 (or 486 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 72910296 is about 8538.7526021076. The cubic root of 72910296 is about 417.7626606832.
It can be divided in two parts, 729 and 10296, that added together give a square (11025 = 1052).
The spelling of 72910296 in words is "seventy-two million, nine hundred ten thousand, two hundred ninety-six".
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