Search a number
-
+
76076352 = 26321112007
BaseRepresentation
bin1001000100011…
…01010101000000
312022011002010200
410202031111000
5123433420402
611314325200
71612431642
oct442152500
9168132120
1076076352
1139a41320
1221589800
13129b84c1
14a164892
156a2b21c
hex488d540

76076352 has 84 divisors (see below), whose sum is σ = 237902496. Its totient is φ = 23051520.

The previous prime is 76076347. The next prime is 76076393. The reversal of 76076352 is 25367067.

It is a happy number.

It is a super-2 number, since 2×760763522 = 11575222667255808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333 + ... + 12339.

Almost surely, 276076352 is an apocalyptic number.

76076352 is a gapful number since it is divisible by the number (72) 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 76076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118951248).

76076352 is an abundant number, since it is smaller than the sum of its proper divisors (161826144).

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

76076352 is a wasteful number, since it uses less digits than its factorization.

76076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036 (or 12023 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 76076352 is about 8722.1758753192. The cubic root of 76076352 is about 423.7241590215.

The spelling of 76076352 in words is "seventy-six million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 12007 24014 36021 48028 72042 96056 108063 132077 144084 192112 216126 264154 288168 384224 396231 432252 528308 576336 768448 792462 864504 1056616 1152672 1188693 1584924 1729008 2113232 2305344 2377386 3169848 3458016 4226464 4754772 6339696 6916032 8452928 9509544 12679392 19019088 25358784 38038176 76076352