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42718728 = 23313235953
BaseRepresentation
bin1010001011110…
…1011000001000
32222101100002010
42202331120020
541413444403
64123335520
71026050253
oct242753010
988340063
1042718728
1122128238
12123815a0
138b09170
14596009a
153b3c603
hex28bd608

42718728 has 64 divisors (see below), whose sum is σ = 120032640. Its totient is φ = 12570624.

The previous prime is 42718721. The next prime is 42718729. The reversal of 42718728 is 82781724.

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

It is not an unprimeable number, because it can be changed into a prime (42718721) 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, 4200 + ... + 10152.

It is an arithmetic number, because the mean of its divisors is an integer number (1875510).

Almost surely, 242718728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42718728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60016320).

42718728 is an abundant number, since it is smaller than the sum of its proper divisors (77313912).

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

42718728 is a wasteful number, since it uses less digits than its factorization.

42718728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5994 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 42718728 is about 6535.9565482032. The cubic root of 42718728 is about 349.5742523894.

The spelling of 42718728 in words is "forty-two million, seven hundred eighteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 5953 7176 11906 17859 23812 35718 47624 71436 77389 136919 142872 154778 232167 273838 309556 410757 464334 547676 619112 821514 928668 1095352 1643028 1779947 1857336 3286056 3559894 5339841 7119788 10679682 14239576 21359364 42718728