Search a number
-
+
78482952 = 23331272861
BaseRepresentation
bin1001010110110…
…00111000001000
312110200100101000
410223120320020
5130042423302
611442055000
71642044162
oct453307010
9173610330
1078482952
1140335449
122234a460
131334ba22
14a5cd932
156d5431c
hex4ad8e08

78482952 has 64 divisors (see below), whose sum is σ = 219801600. Its totient is φ = 25945920.

The previous prime is 78482951. The next prime is 78482993. The reversal of 78482952 is 25928487.

It is a junction number, because it is equal to n+sod(n) for n = 78482898 and 78482907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78482951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26002 + ... + 28862.

It is an arithmetic number, because the mean of its divisors is an integer number (3434400).

Almost surely, 278482952 is an apocalyptic number.

78482952 is a gapful number since it is divisible by the number (72) 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 78482952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109900800).

78482952 is an abundant number, since it is smaller than the sum of its proper divisors (141318648).

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

78482952 is a wasteful number, since it uses less digits than its factorization.

78482952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2993 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78482952 is about 8859.0604467968. The cubic root of 78482952 is about 428.1458873216.

The spelling of 78482952 in words is "seventy-eight million, four hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 2861 3048 3429 4572 5722 6858 8583 9144 11444 13716 17166 22888 25749 27432 34332 51498 68664 77247 102996 154494 205992 308988 363347 617976 726694 1090041 1453388 2180082 2906776 3270123 4360164 6540246 8720328 9810369 13080492 19620738 26160984 39241476 78482952