Search a number
-
+
72838662 = 23132292477
BaseRepresentation
bin1000101011101…
…10111000000110
312002001120212020
410111312320012
5122121314122
611121104010
71543055421
oct425667006
9162046766
1072838662
113812a846
1220488006
1312123900
1499609b8
1565dbc5c
hex4576e06

72838662 has 48 divisors (see below), whose sum is σ = 163250640. Its totient is φ = 21630336.

The previous prime is 72838657. The next prime is 72838679. The reversal of 72838662 is 26683827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28168 + ... + 30644.

It is an arithmetic number, because the mean of its divisors is an integer number (3401055).

Almost surely, 272838662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72838662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81625320).

72838662 is an abundant number, since it is smaller than the sum of its proper divisors (90411978).

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

72838662 is a wasteful number, since it uses less digits than its factorization.

72838662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2524 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 72838662 is about 8534.5569305032. The cubic root of 72838662 is about 417.6257992788.

The spelling of 72838662 in words is "seventy-two million, eight hundred thirty-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 1014 1131 2262 2477 4901 4954 7431 9802 14703 14862 29406 32201 64402 71833 96603 143666 193206 215499 418613 430998 837226 933829 1255839 1867658 2511678 2801487 5602974 12139777 24279554 36419331 72838662