Search a number
-
+
42706600 = 2352213533
BaseRepresentation
bin1010001011101…
…0011010101000
32222100201102221
42202322122220
541413102400
64123203424
71026000016
oct242723250
988321387
1042706600
112211a112
1212376574
138b037a1
1459598b6
153b38c1a
hex28ba6a8

42706600 has 24 divisors (see below), whose sum is σ = 99293310. Its totient is φ = 17082560.

The previous prime is 42706583. The next prime is 42706603. The reversal of 42706600 is 660724.

It can be written as a sum of positive squares in 3 ways, for example, as 29789764 + 12916836 = 5458^2 + 3594^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42706603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106567 + ... + 106966.

Almost surely, 242706600 is an apocalyptic number.

42706600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42706600 is an abundant number, since it is smaller than the sum of its proper divisors (56586710).

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

42706600 is a wasteful number, since it uses less digits than its factorization.

42706600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213549 (or 213540 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 42706600 is about 6535.0286915973. The cubic root of 42706600 is about 349.5411674638.

The spelling of 42706600 in words is "forty-two million, seven hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 213533 427066 854132 1067665 1708264 2135330 4270660 5338325 8541320 10676650 21353300 42706600