Search a number
-
+
72484386 = 2313312967
BaseRepresentation
bin1000101001000…
…00011000100010
312001101120212220
410110200120202
5122024000021
611105331510
71540051512
oct424403042
9161346786
1072484386
1137a08657
1220336b96
131202b590
1498ab842
15656bcc6
hex4520622

72484386 has 48 divisors (see below), whose sum is σ = 161485632. Its totient is φ = 21561120.

The previous prime is 72484381. The next prime is 72484393. The reversal of 72484386 is 68348427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72484381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74475 + ... + 75441.

It is an arithmetic number, because the mean of its divisors is an integer number (3364284).

Almost surely, 272484386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72484386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80742816).

72484386 is an abundant number, since it is smaller than the sum of its proper divisors (89001246).

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

72484386 is a wasteful number, since it uses less digits than its factorization.

72484386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1016 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 72484386 is about 8513.7762479407. The cubic root of 72484386 is about 416.9476094260.

The spelling of 72484386 in words is "seventy-two million, four hundred eighty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 961 967 1209 1922 1934 2418 2883 2901 5766 5802 12493 12571 24986 25142 29977 37479 37713 59954 74958 75426 89931 179862 389701 779402 929287 1169103 1858574 2338206 2787861 5575722 12080731 24161462 36242193 72484386