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42020352 = 293211829
BaseRepresentation
bin1010000001001…
…0111000000000
32221001212002100
42200102320000
541224122402
64100350400
71020111213
oct240227000
987055070
1042020352
11217a0570
12120a5400
13892331a
14581b77a
153a5071c
hex2812e00

42020352 has 120 divisors (see below), whose sum is σ = 132458040. Its totient is φ = 12718080.

The previous prime is 42020351. The next prime is 42020357. The reversal of 42020352 is 25302024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020351) 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 11 ways as a sum of consecutive naturals, for example, 50274 + ... + 51102.

It is an arithmetic number, because the mean of its divisors is an integer number (1103817).

Almost surely, 242020352 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 42020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66229020).

42020352 is an abundant number, since it is smaller than the sum of its proper divisors (90437688).

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

42020352 is a wasteful number, since it uses less digits than its factorization.

42020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42020352 is about 6482.3106991257. The cubic root of 42020352 is about 347.6588015287.

Adding to 42020352 its reverse (25302024), we get a palindrome (67322376).

The spelling of 42020352 in words is "forty-two million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 829 1056 1152 1408 1536 1584 1658 2112 2304 2487 2816 3168 3316 4224 4608 4974 5632 6336 6632 7461 8448 9119 9948 12672 13264 14922 16896 18238 19896 25344 26528 27357 29844 36476 39792 50688 53056 54714 59688 72952 79584 82071 106112 109428 119376 145904 159168 164142 212224 218856 238752 291808 318336 328284 424448 437712 477504 583616 636672 656568 875424 955008 1167232 1273344 1313136 1750848 1910016 2334464 2626272 3501696 3820032 4668928 5252544 7003392 10505088 14006784 21010176 42020352