Search a number
-
+
77364948 = 223531031181
BaseRepresentation
bin1001001110001…
…11111011010100
312101120112202110
410213013323110
5124301134243
611402111020
71626406533
oct447077324
9171515673
1077364948
113a741481
1221aab470
1313049b9b
14a3bc31a
156bd2e33
hex49c7ed4

77364948 has 48 divisors (see below), whose sum is σ = 185867136. Its totient is φ = 25034880.

The previous prime is 77364929. The next prime is 77364983. The reversal of 77364948 is 84946377.

It is a happy number.

Its product of digits (1016064) is a multiple of the sum of its prime factors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 77364897 and 77364906.

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, 64918 + ... + 66098.

It is an arithmetic number, because the mean of its divisors is an integer number (3872232).

Almost surely, 277364948 is an apocalyptic number.

It is an amenable number.

77364948 is an abundant number, since it is smaller than the sum of its proper divisors (108502188).

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

77364948 is a wasteful number, since it uses less digits than its factorization.

77364948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 77364948 is about 8795.7346481121. The cubic root of 77364948 is about 426.1031511986.

The spelling of 77364948 in words is "seventy-seven million, three hundred sixty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 53 103 106 159 206 212 309 318 412 618 636 1181 1236 2362 3543 4724 5459 7086 10918 14172 16377 21836 32754 62593 65508 121643 125186 187779 243286 250372 364929 375558 486572 729858 751116 1459716 6447079 12894158 19341237 25788316 38682474 77364948