Search a number
-
+
76648416 = 2531361417
BaseRepresentation
bin1001001000110…
…00111111100000
312100020010212020
410210120333200
5124110222131
611334501440
71620333525
oct444307740
9170203766
1076648416
113a2a20a9
1221804880
1312b589c0
14a27314c
156ae0996
hex4918fe0

76648416 has 48 divisors (see below), whose sum is σ = 216682704. Its totient is φ = 23583744.

The previous prime is 76648387. The next prime is 76648417. The reversal of 76648416 is 61484667.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76648417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29461 + ... + 31956.

It is an arithmetic number, because the mean of its divisors is an integer number (4514223).

Almost surely, 276648416 is an apocalyptic number.

It is an amenable number.

76648416 is an abundant number, since it is smaller than the sum of its proper divisors (140034288).

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

76648416 is a wasteful number, since it uses less digits than its factorization.

76648416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61443 (or 61435 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 76648416 is about 8754.9081091694. The cubic root of 76648416 is about 424.7835871670.

The spelling of 76648416 in words is "seventy-six million, six hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 61417 122834 184251 245668 368502 491336 737004 798421 982672 1474008 1596842 1965344 2395263 2948016 3193684 4790526 5896032 6387368 9581052 12774736 19162104 25549472 38324208 76648416