Search a number
-
+
42198996 = 22372431669
BaseRepresentation
bin1010000011111…
…0011111010100
32221101221010210
42200332133110
541300331441
64104245420
71021454100
oct240763724
987357123
1042198996
1121902804
1212170870
138986728
145866900
153a88616
hex283e7d4

42198996 has 72 divisors (see below), whose sum is σ = 117274080. Its totient is φ = 11769408.

The previous prime is 42198991. The next prime is 42199013. The reversal of 42198996 is 69989124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42198991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24450 + ... + 26118.

Almost surely, 242198996 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 42198996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58637040).

42198996 is an abundant number, since it is smaller than the sum of its proper divisors (75075084).

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

42198996 is a wasteful number, since it uses less digits than its factorization.

42198996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1724 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 42198996 is about 6496.0754305965. The cubic root of 42198996 is about 348.1507802153.

The spelling of 42198996 in words is "forty-two million, one hundred ninety-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1669 1806 2107 3338 3612 4214 5007 6321 6676 8428 10014 11683 12642 20028 23366 25284 35049 46732 70098 71767 81781 140196 143534 163562 215301 245343 287068 327124 430602 490686 502369 861204 981372 1004738 1507107 2009476 3014214 3516583 6028428 7033166 10549749 14066332 21099498 42198996