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78433216 = 2619531217
BaseRepresentation
bin1001010110011…
…00101111000000
312110120211010221
410223030233000
5130034330331
611441032424
71641446161
oct453145700
9173524127
1078433216
1140301044
1222325714
13133321b4
14a5b9768
156d44711
hex4accbc0

78433216 has 56 divisors (see below), whose sum is σ = 167060880. Its totient is φ = 36421632.

The previous prime is 78433211. The next prime is 78433241. The reversal of 78433216 is 61233487.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78433211) 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, 63840 + ... + 65056.

It is an arithmetic number, because the mean of its divisors is an integer number (2983230).

Almost surely, 278433216 is an apocalyptic number.

78433216 is a gapful number since it is divisible by the number (76) 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 78433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83530440).

78433216 is an abundant number, since it is smaller than the sum of its proper divisors (88627664).

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

78433216 is a wasteful number, since it uses less digits than its factorization.

78433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1291 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 78433216 is about 8856.2529322507. The cubic root of 78433216 is about 428.0554270664.

The spelling of 78433216 in words is "seventy-eight million, four hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 152 212 304 424 608 848 1007 1216 1217 1696 2014 2434 3392 4028 4868 8056 9736 16112 19472 23123 32224 38944 46246 64448 64501 77888 92492 129002 184984 258004 369968 516008 739936 1032016 1225519 1479872 2064032 2451038 4128064 4902076 9804152 19608304 39216608 78433216