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42114708 = 2233419511
BaseRepresentation
bin1010000010100…
…1111010010100
32221020122112000
42200221322110
541240132313
64102355300
71020653256
oct240517224
987218460
1042114708
1121855449
121212bb30
13895725c
145843cd6
153a6d673
hex2829e94

42114708 has 48 divisors (see below), whose sum is σ = 111861120. Its totient is φ = 13694400.

The previous prime is 42114707. The next prime is 42114719. The reversal of 42114708 is 80741124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328 + ... + 9183.

It is an arithmetic number, because the mean of its divisors is an integer number (2330440).

Almost surely, 242114708 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 42114708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55930560).

42114708 is an abundant number, since it is smaller than the sum of its proper divisors (69746412).

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

42114708 is a wasteful number, since it uses less digits than its factorization.

42114708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 42114708 is about 6489.5845783840. The cubic root of 42114708 is about 347.9188276789.

It can be divided in two parts, 421 and 14708, that added together give a square (15129 = 1232).

The spelling of 42114708 in words is "forty-two million, one hundred fourteen thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 9511 19022 28533 38044 57066 85599 114132 171198 256797 342396 389951 513594 779902 1027188 1169853 1559804 2339706 3509559 4679412 7019118 10528677 14038236 21057354 42114708