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42358272 = 2931123109
BaseRepresentation
bin1010000110010…
…1011000000000
32221201000121220
42201211120000
541320431042
64111515040
71023016335
oct241453000
987630556
1042358272
1121a01440
1212228a80
138a11088
1458a898c
153aba8ec
hex2865600

42358272 has 160 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 12165120.

The previous prime is 42358247. The next prime is 42358279. The reversal of 42358272 is 27285324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42358279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388554 + ... + 388662.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 242358272 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 42358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

42358272 is an abundant number, since it is smaller than the sum of its proper divisors (87276288).

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

42358272 is a wasteful number, since it uses less digits than its factorization.

42358272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 42358272 is about 6508.3232863772. The cubic root of 42358272 is about 348.5882506822.

The spelling of 42358272 in words is "forty-two million, three hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 109 128 132 138 176 184 192 218 253 256 264 276 327 352 368 384 436 506 512 528 552 654 704 736 759 768 872 1012 1056 1104 1199 1308 1408 1472 1518 1536 1744 2024 2112 2208 2398 2507 2616 2816 2944 3036 3488 3597 4048 4224 4416 4796 5014 5232 5632 5888 6072 6976 7194 7521 8096 8448 8832 9592 10028 10464 11776 12144 13952 14388 15042 16192 16896 17664 19184 20056 20928 24288 27577 27904 28776 30084 32384 35328 38368 40112 41856 48576 55154 55808 57552 60168 64768 76736 80224 82731 83712 97152 110308 115104 120336 129536 153472 160448 165462 167424 194304 220616 230208 240672 306944 320896 330924 388608 441232 460416 481344 613888 641792 661848 882464 920832 962688 1283584 1323696 1764928 1841664 1925376 2647392 3529856 3850752 5294784 7059712 10589568 14119424 21179136 42358272