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72910296 = 233219223239
BaseRepresentation
bin1000101100010…
…00010111011000
312002012020010100
410112020113120
5122131112141
611122415400
71543504314
oct426102730
9162166110
1072910296
1138179648
1220501560
131214a3b4
14997cb44
1566030b6
hex45885d8

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".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 223 228 239 342 446 456 478 669 684 717 892 956 1338 1368 1434 1784 1912 2007 2151 2676 2868 4014 4237 4302 4541 5352 5736 8028 8474 8604 9082 12711 13623 16056 16948 17208 18164 25422 27246 33896 36328 38133 40869 50844 53297 54492 76266 81738 101688 106594 108984 152532 159891 163476 213188 305064 319782 326952 426376 479673 639564 959346 1012643 1279128 1918692 2025286 3037929 3837384 4050572 6075858 8101144 9113787 12151716 18227574 24303432 36455148 72910296