Search a number
-
+
76416552 = 23324212521
BaseRepresentation
bin1001000111000…
…00011000101000
312022210100210200
410203200120220
5124030312202
611325512200
71615346532
oct443403050
9168710720
1076416552
113a153983
1221712660
1312aa72c4
14a212852
156a96e1c
hex48e0628

76416552 has 48 divisors (see below), whose sum is σ = 207535380. Its totient is φ = 25401600.

The previous prime is 76416551. The next prime is 76416563. The reversal of 76416552 is 25561467.

It is a happy number.

76416552 is a `hidden beast` number, since 7 + 641 + 6 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41912676 + 34503876 = 6474^2 + 5874^2 .

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

It is not an unprimeable number, because it can be changed into a prime (76416551) 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, 29052 + ... + 31572.

Almost surely, 276416552 is an apocalyptic number.

76416552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76416552 is an abundant number, since it is smaller than the sum of its proper divisors (131118828).

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

76416552 is a wasteful number, since it uses less digits than its factorization.

76416552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2947 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 76416552 is about 8741.6561359962. The cubic root of 76416552 is about 424.3548263919.

The spelling of 76416552 in words is "seventy-six million, four hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 421 842 1263 1684 2521 2526 3368 3789 5042 5052 7563 7578 10084 10104 15126 15156 20168 22689 30252 30312 45378 60504 90756 181512 1061341 2122682 3184023 4245364 6368046 8490728 9552069 12736092 19104138 25472184 38208276 76416552