Search a number
-
+
42697700 = 2252735849
BaseRepresentation
bin1010001011100…
…0001111100100
32222100021020022
42202320033210
541412311300
64123054312
71025632043
oct242701744
988307208
1042697700
1122113461
1212371398
138acc716
14595655a
153b36285
hex28b83e4

42697700 has 36 divisors (see below), whose sum is σ = 93939300. Its totient is φ = 16842240.

The previous prime is 42697691. The next prime is 42697709. The reversal of 42697700 is 779624.

It is an interprime number because it is at equal distance from previous prime (42697691) and next prime (42697709).

It can be written as a sum of positive squares in 6 ways, for example, as 1532644 + 41165056 = 1238^2 + 6416^2 .

It is not an unprimeable number, because it can be changed into a prime (42697709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4376 + ... + 10224.

It is an arithmetic number, because the mean of its divisors is an integer number (2609425).

Almost surely, 242697700 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 42697700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46969650).

42697700 is an abundant number, since it is smaller than the sum of its proper divisors (51241600).

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

42697700 is a wasteful number, since it uses less digits than its factorization.

42697700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 42697700 is about 6534.3477103686. The cubic root of 42697700 is about 349.5168844683.

The spelling of 42697700 in words is "forty-two million, six hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 5849 7300 11698 23396 29245 58490 116980 146225 292450 426977 584900 853954 1707908 2134885 4269770 8539540 10674425 21348850 42697700