Search a number
-
+
78454656 = 273472347
BaseRepresentation
bin1001010110100…
…01111110000000
312110121220120000
410223101332000
5130041022111
611441320000
71641565530
oct453217600
9173556500
1078454656
1140316165
1222336000
131333bb97
14a5c34c0
156d4ac56
hex4ad1f80

78454656 has 320 divisors, whose sum is σ = 284359680. Its totient is φ = 20984832.

The previous prime is 78454639. The next prime is 78454669. The reversal of 78454656 is 65645487.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1669225 + ... + 1669271.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 278454656 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 78454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142179840).

78454656 is an abundant number, since it is smaller than the sum of its proper divisors (205905024).

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

78454656 is a wasteful number, since it uses less digits than its factorization.

78454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 78454656 is about 8857.4632937427. The cubic root of 78454656 is about 428.0944270068.

The spelling of 78454656 in words is "seventy-eight million, four hundred fifty-four thousand, six hundred fifty-six".