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96527772 = 2232111731409
BaseRepresentation
bin1011100000011…
…10010110011100
320201122010012200
411300032112130
5144202342042
613324531500
72251321035
oct560162634
9221563180
1096527772
114a53a820
12283b0b90
1316cc9233
14cb69a8c
15871ac4c
hex5c0e59c

96527772 has 72 divisors (see below), whose sum is σ = 267911280. Its totient is φ = 29061120.

The previous prime is 96527749. The next prime is 96527773. The reversal of 96527772 is 27772569.

It is a super-2 number, since 2×965277722 = 18635221534567968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96527773) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67804 + ... + 69212.

It is an arithmetic number, because the mean of its divisors is an integer number (3720990).

Almost surely, 296527772 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 96527772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133955640).

96527772 is an abundant number, since it is smaller than the sum of its proper divisors (171383508).

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

96527772 is a wasteful number, since it uses less digits than its factorization.

96527772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1598 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 96527772 is about 9824.8548080875. The cubic root of 96527772 is about 458.7232586431.

It can be divided in two parts, 9652 and 7772, that added together give a square (17424 = 1322).

The spelling of 96527772 in words is "ninety-six million, five hundred twenty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1409 1557 1903 2076 2818 3114 3806 4227 5636 5709 6228 7612 8454 11418 12681 15499 16908 17127 22836 25362 30998 34254 46497 50724 61996 68508 92994 139491 185988 243757 278982 487514 557964 731271 975028 1462542 2193813 2681327 2925084 4387626 5362654 8043981 8775252 10725308 16087962 24131943 32175924 48263886 96527772