Search a number
-
+
76745728 = 210149503
BaseRepresentation
bin1001001001100…
…00110000000000
312100102002100101
410210300300000
5124121330403
611340532144
71621220323
oct444606000
9170362311
1076745728
113a359224
1221851054
1312b91097
14a29a7ba
156b0e71d
hex4930c00

76745728 has 44 divisors (see below), whose sum is σ = 154753200. Its totient is φ = 38039552.

The previous prime is 76745707. The next prime is 76745729. The reversal of 76745728 is 82754767.

Its product of digits (658560) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (76745729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152325 + ... + 152827.

Almost surely, 276745728 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 76745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376600).

76745728 is an abundant number, since it is smaller than the sum of its proper divisors (78007472).

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

76745728 is a wasteful number, since it uses less digits than its factorization.

76745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its digits is 658560, while the sum is 46.

The square root of 76745728 is about 8760.4639146566. The cubic root of 76745728 is about 424.9632780267.

The spelling of 76745728 in words is "seventy-six million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 503 512 596 1006 1024 1192 2012 2384 4024 4768 8048 9536 16096 19072 32192 38144 64384 74947 76288 128768 149894 152576 257536 299788 515072 599576 1199152 2398304 4796608 9593216 19186432 38372864 76745728