Search a number
-
+
78484924 = 22723472593
BaseRepresentation
bin1001010110110…
…01010110111100
312110200110002001
410223121112330
5130043004144
611442112044
71642053010
oct453312674
9173613061
1078484924
1140336981
122234b624
131334c8ab
14a5d0540
156d54bd4
hex4ad95bc

78484924 has 48 divisors (see below), whose sum is σ = 167344128. Its totient is φ = 31477248.

The previous prime is 78484919. The next prime is 78484949. The reversal of 78484924 is 42948487.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28972 + ... + 31564.

It is an arithmetic number, because the mean of its divisors is an integer number (3486336).

Almost surely, 278484924 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 78484924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83672064).

78484924 is an abundant number, since it is smaller than the sum of its proper divisors (88859204).

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

78484924 is a wasteful number, since it uses less digits than its factorization.

78484924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2672 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 78484924 is about 8859.1717445820. The cubic root of 78484924 is about 428.1494732240.

Subtracting from 78484924 its product of digits (516096), we obtain a triangular number (77968828 = T12487).

The spelling of 78484924 in words is "seventy-eight million, four hundred eighty-four thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 47 92 94 161 188 322 329 644 658 1081 1316 2162 2593 4324 5186 7567 10372 15134 18151 30268 36302 59639 72604 119278 121871 238556 243742 417473 487484 834946 853097 1669892 1706194 2803033 3412388 5606066 11212132 19621231 39242462 78484924