Search a number
-
+
76220256 = 25371011123
BaseRepresentation
bin1001000101100…
…00011101100000
312022102101112110
410202300131200
5124003022011
611321355320
71613601330
oct442603540
9168371473
1076220256
113a02a452
1221638b40
1312a38b58
14a1a10c0
156a58ba6
hex48b0760

76220256 has 96 divisors (see below), whose sum is σ = 231130368. Its totient is φ = 21542400.

The previous prime is 76220251. The next prime is 76220257. The reversal of 76220256 is 65202267.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76220251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67311 + ... + 68433.

It is an arithmetic number, because the mean of its divisors is an integer number (2407608).

Almost surely, 276220256 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 76220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115565184).

76220256 is an abundant number, since it is smaller than the sum of its proper divisors (154910112).

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

76220256 is a wasteful number, since it uses less digits than its factorization.

76220256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 76220256 is about 8730.4212956764. The cubic root of 76220256 is about 423.9911591844.

The spelling of 76220256 in words is "seventy-six million, two hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1123 1212 1414 1616 2121 2246 2424 2828 3232 3369 4242 4492 4848 5656 6738 7861 8484 8984 9696 11312 13476 15722 16968 17968 22624 23583 26952 31444 33936 35936 47166 53904 62888 67872 94332 107808 113423 125776 188664 226846 251552 340269 377328 453692 680538 754656 793961 907384 1361076 1587922 1814768 2381883 2722152 3175844 3629536 4763766 5444304 6351688 9527532 10888608 12703376 19055064 25406752 38110128 76220256