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42754338 = 23311167431
BaseRepresentation
bin1010001100011…
…0000100100010
32222110010221000
42203012010202
541421114323
64124212430
71026256134
oct243060442
988403830
1042754338
1122151a70
121239a116
138b1c433
14596d054
153b47e43
hex28c6122

42754338 has 64 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 12848400.

The previous prime is 42754333. The next prime is 42754343. The reversal of 42754338 is 83345724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42754333) and next prime (42754343).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42754333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98983 + ... + 99413.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 242754338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42754338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

42754338 is an abundant number, since it is smaller than the sum of its proper divisors (61755102).

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

42754338 is a wasteful number, since it uses less digits than its factorization.

42754338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42754338 is about 6538.6801420470. The cubic root of 42754338 is about 349.6713595394.

The spelling of 42754338 in words is "forty-two million, seven hundred fifty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 431 501 594 862 1002 1293 1503 1837 2586 3006 3674 3879 4509 4741 5511 7758 9018 9482 11022 11637 14223 16533 23274 28446 33066 42669 49599 71977 85338 99198 128007 143954 215931 256014 431862 647793 791747 1295586 1583494 1943379 2375241 3886758 4750482 7125723 14251446 21377169 42754338