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42047980 = 22513433761
BaseRepresentation
bin1010000001100…
…1100111101100
32221010020222121
42200121213230
541231013410
64101122324
71020254602
oct240314754
987106877
1042047980
112180a2a7
12120b93a4
138932a80
145827872
153a589da
hex28199ec

42047980 has 48 divisors (see below), whose sum is σ = 97330464. Its totient is φ = 15160320.

The previous prime is 42047977. The next prime is 42047983. The reversal of 42047980 is 8974024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42047977) and next prime (42047983).

It is not an unprimeable number, because it can be changed into a prime (42047983) 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, 9300 + ... + 13060.

It is an arithmetic number, because the mean of its divisors is an integer number (2027718).

Almost surely, 242047980 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 42047980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48665232).

42047980 is an abundant number, since it is smaller than the sum of its proper divisors (55282484).

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

42047980 is a wasteful number, since it uses less digits than its factorization.

42047980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 42047980 is about 6484.4413791783. The cubic root of 42047980 is about 347.7349790045.

It can be divided in two parts, 420 and 47980, that added together give a square (48400 = 2202).

The spelling of 42047980 in words is "forty-two million, forty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 3761 5590 7522 11180 15044 18805 37610 48893 75220 97786 161723 195572 244465 323446 488930 646892 808615 977860 1617230 2102399 3234460 4204798 8409596 10511995 21023990 42047980