Search a number
-
+
42196992 = 213317101
BaseRepresentation
bin1010000011111…
…0000000000000
32221101211101120
42200332000000
541300300432
64104232240
71021445205
oct240760000
987354346
1042196992
1121901252
121216b680
138985846
145865cac
153a87c2c
hex283e000

42196992 has 112 divisors (see below), whose sum is σ = 120316752. Its totient is φ = 13107200.

The previous prime is 42196963. The next prime is 42196997. The reversal of 42196992 is 29969124.

It is a super-2 number, since 2×421969922 = 3561172267696128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42196997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417742 + ... + 417842.

Almost surely, 242196992 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 42196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60158376).

42196992 is an abundant number, since it is smaller than the sum of its proper divisors (78119760).

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

42196992 is a wasteful number, since it uses less digits than its factorization.

42196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 42196992 is about 6495.9211817878. The cubic root of 42196992 is about 348.1452689846.

It can be divided in two parts, 4219 and 6992, that added together give a palindrome (11211).

The spelling of 42196992 in words is "forty-two million, one hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 101 102 128 136 192 202 204 256 272 303 384 404 408 512 544 606 768 808 816 1024 1088 1212 1536 1616 1632 1717 2048 2176 2424 3072 3232 3264 3434 4096 4352 4848 5151 6144 6464 6528 6868 8192 8704 9696 10302 12288 12928 13056 13736 17408 19392 20604 24576 25856 26112 27472 34816 38784 41208 51712 52224 54944 69632 77568 82416 103424 104448 109888 139264 155136 164832 206848 208896 219776 310272 329664 413696 417792 439552 620544 659328 827392 879104 1241088 1318656 1758208 2482176 2637312 3516416 5274624 7032832 10549248 14065664 21098496 42196992