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42536780 = 2251113107139
BaseRepresentation
bin1010001001000…
…0111101001100
32222001002111022
42202100331030
541342134110
64115413312
71024361636
oct242207514
988032438
1042536780
1122013570
12122b4238
138a743c0
145913a56
153b03755
hex2890f4c

42536780 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 14042880.

The previous prime is 42536777. The next prime is 42536797. The reversal of 42536780 is 8763524.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42536780.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 305951 + ... + 306089.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 242536780 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 42536780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

42536780 is an abundant number, since it is smaller than the sum of its proper divisors (64149940).

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

42536780 is a wasteful number, since it uses less digits than its factorization.

42536780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 42536780 is about 6522.0226923862. The cubic root of 42536780 is about 349.0772428050.

The spelling of 42536780 in words is "forty-two million, five hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 107 110 130 139 143 214 220 260 278 286 428 535 556 572 695 715 1070 1177 1390 1391 1430 1529 1807 2140 2354 2780 2782 2860 3058 3614 4708 5564 5885 6116 6955 7228 7645 9035 11770 13910 14873 15290 15301 18070 19877 23540 27820 29746 30580 30602 36140 39754 59492 61204 74365 76505 79508 99385 148730 153010 163603 193349 198770 297460 306020 327206 386698 397540 654412 773396 818015 966745 1636030 1933490 2126839 3272060 3866980 4253678 8507356 10634195 21268390 42536780