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42316992 = 2636907
BaseRepresentation
bin1010000101101…
…1010011000000
32221121221000000
42201123103000
541313120432
64111000000
71022455104
oct241332300
987557000
1042316992
1121983423
1212209000
1389c8353
145897904
153aad57c
hex285b4c0

42316992 has 98 divisors (see below), whose sum is σ = 126040388. Its totient is φ = 14090112.

The previous prime is 42316991. The next prime is 42317017. The reversal of 42316992 is 29961324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (42316991) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46203 + ... + 47109.

Almost surely, 242316992 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 42316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63020194).

42316992 is an abundant number, since it is smaller than the sum of its proper divisors (83723396).

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

42316992 is an frugal number, since it uses more digits than its factorization.

42316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 912 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 42316992 is about 6505.1511896343. The cubic root of 42316992 is about 348.4749756806.

The spelling of 42316992 in words is "forty-two million, three hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 907 972 1296 1458 1728 1814 1944 2592 2721 2916 3628 3888 5184 5442 5832 7256 7776 8163 10884 11664 14512 15552 16326 21768 23328 24489 29024 32652 43536 46656 48978 58048 65304 73467 87072 97956 130608 146934 174144 195912 220401 261216 293868 391824 440802 522432 587736 661203 783648 881604 1175472 1322406 1567296 1763208 2350944 2644812 3526416 4701888 5289624 7052832 10579248 14105664 21158496 42316992