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3228832542 = 2313217792371
BaseRepresentation
bin1100000001110100…
…0001001100011110
322100000121200120110
43000131001030132
523103040120132
61252221030450
7143004423645
oct30035011436
98300550513
103228832542
111407656751
127613b5426
133c5c25300
14228b7235c
1513d6e61cc
hexc074131e

3228832542 has 96 divisors (see below), whose sum is σ = 7500833280. Its totient is φ = 922821120.

The previous prime is 3228832459. The next prime is 3228832589. The reversal of 3228832542 is 2452388223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a house number.

It is a self number, because there is not a number n which added to its sum of digits gives 3228832542.

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 47 ways as a sum of consecutive naturals, for example, 1360617 + ... + 1362987.

It is an arithmetic number, because the mean of its divisors is an integer number (78133680).

Almost surely, 23228832542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3228832542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750416640).

3228832542 is an abundant number, since it is smaller than the sum of its proper divisors (4272000738).

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

3228832542 is a wasteful number, since it uses less digits than its factorization.

3228832542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2485 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 3228832542 is about 56822.8170896164. The cubic root of 3228832542 is about 1478.0252061330.

The spelling of 3228832542 in words is "three billion, two hundred twenty-eight million, eight hundred thirty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 79 102 158 169 221 237 338 442 474 507 663 1014 1027 1326 1343 2054 2371 2686 2873 3081 4029 4742 5746 6162 7113 8058 8619 13351 14226 17238 17459 26702 30823 34918 40053 40307 52377 61646 80106 80614 92469 104754 120921 184938 187309 226967 241842 374618 400699 453934 523991 561927 680901 801398 1047982 1123854 1202097 1361802 1571973 2404194 2435017 3143946 3184253 4870034 6368506 6811883 7305051 9552759 13623766 14610102 19105518 20435649 31655221 40871298 41395289 63310442 82790578 94965663 124185867 189931326 248371734 538138757 1076277514 1614416271 3228832542