Search a number
-
+
42099568 = 2472359277
BaseRepresentation
bin1010000010011…
…0001101110000
32221012212202021
42200212031300
541234141233
64102201224
71020561160
oct240461560
987185667
1042099568
1121845035
1212123214
1389503b4
14583c5a0
153a68e2d
hex2826370

42099568 has 80 divisors (see below), whose sum is σ = 99279360. Its totient is φ = 16904448.

The previous prime is 42099557. The next prime is 42099593. The reversal of 42099568 is 86599024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151846 + ... + 152122.

It is an arithmetic number, because the mean of its divisors is an integer number (1240992).

Almost surely, 242099568 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 42099568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49639680).

42099568 is an abundant number, since it is smaller than the sum of its proper divisors (57179792).

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

42099568 is a wasteful number, since it uses less digits than its factorization.

42099568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 42099568 is about 6488.4179890016. The cubic root of 42099568 is about 347.8771310632.

The spelling of 42099568 in words is "forty-two million, ninety-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 59 92 112 118 161 184 236 277 322 368 413 472 554 644 826 944 1108 1288 1357 1652 1939 2216 2576 2714 3304 3878 4432 5428 6371 6608 7756 9499 10856 12742 15512 16343 18998 21712 25484 31024 32686 37996 44597 50968 65372 75992 89194 101936 114401 130744 151984 178388 228802 261488 356776 375889 457604 713552 751778 915208 1503556 1830416 2631223 3007112 5262446 6014224 10524892 21049784 42099568