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76226752 = 2672109223
BaseRepresentation
bin1001000101100…
…10000011000000
312022102201110001
410202302003000
5124003224002
611321445344
71613626300
oct442620300
9168381401
1076226752
113a034318
1221640854
1312a3bab4
14a1a3600
156a5aa87
hex48b20c0

76226752 has 84 divisors (see below), whose sum is σ = 178368960. Its totient is φ = 32223744.

The previous prime is 76226743. The next prime is 76226753. The reversal of 76226752 is 25762267.

It is not an unprimeable number, because it can be changed into a prime (76226753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341713 + ... + 341935.

It is an arithmetic number, because the mean of its divisors is an integer number (2123440).

Almost surely, 276226752 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 76226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184480).

76226752 is an abundant number, since it is smaller than the sum of its proper divisors (102142208).

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

76226752 is a wasteful number, since it uses less digits than its factorization.

76226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 76226752 is about 8730.7933201972. The cubic root of 76226752 is about 424.0032039630.

The spelling of 76226752 in words is "seventy-six million, two hundred twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 109 112 196 218 223 224 392 436 446 448 763 784 872 892 1526 1561 1568 1744 1784 3052 3122 3136 3488 3568 5341 6104 6244 6976 7136 10682 10927 12208 12488 14272 21364 21854 24307 24416 24976 42728 43708 48614 48832 49952 85456 87416 97228 99904 170149 170912 174832 194456 340298 341824 349664 388912 680596 699328 777824 1191043 1361192 1555648 2382086 2722384 4764172 5444768 9528344 10889536 19056688 38113376 76226752