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42781900 = 2252728731
BaseRepresentation
bin1010001100110…
…0110011001100
32222111112201211
42203030303030
541423010100
64124544204
71026432400
oct243146314
988445654
1042781900
1122170747
12123b2064
138b2bb45
145979100
153b511ba
hex28ccccc

42781900 has 54 divisors (see below), whose sum is σ = 108006108. Its totient is φ = 14666400.

The previous prime is 42781889. The next prime is 42781927. The reversal of 42781900 is 918724.

It is a super-2 number, since 2×427819002 = 3660581935220000, which contains 22 as substring.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 535 + ... + 9265.

Almost surely, 242781900 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 42781900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54003054).

42781900 is an abundant number, since it is smaller than the sum of its proper divisors (65224208).

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

42781900 is a wasteful number, since it uses less digits than its factorization.

42781900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 42781900 is about 6540.7874143715. The cubic root of 42781900 is about 349.7464830801.

It can be divided in two parts, 42781 and 900, that added together give a square (43681 = 2092).

The spelling of 42781900 in words is "forty-two million, seven hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 8731 17462 34924 43655 61117 87310 122234 174620 218275 244468 305585 427819 436550 611170 855638 873100 1222340 1527925 1711276 2139095 3055850 4278190 6111700 8556380 10695475 21390950 42781900