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42300072 = 23323131877
BaseRepresentation
bin1010000101011…
…1001010101000
32221121001210100
42201113022220
541312100242
64110345400
71022354553
oct241271250
987531710
1042300072
1121971741
12121bb260
1389c0739
14589169a
153aa854c
hex28572a8

42300072 has 48 divisors (see below), whose sum is σ = 114989940. Its totient is φ = 14047488.

The previous prime is 42300019. The next prime is 42300091. The reversal of 42300072 is 27000324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38862756 + 3437316 = 6234^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21598 + ... + 23474.

Almost surely, 242300072 is an apocalyptic number.

It is an amenable number.

42300072 is an abundant number, since it is smaller than the sum of its proper divisors (72689868).

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

42300072 is a wasteful number, since it uses less digits than its factorization.

42300072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 42300072 is about 6503.8505517885. The cubic root of 42300072 is about 348.4285248159.

Adding to 42300072 its reverse (27000324), we get a palindrome (69300396).

The spelling of 42300072 in words is "forty-two million, three hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1877 1878 2504 2817 3754 3756 5631 5634 7508 7512 11262 11268 15016 16893 22524 22536 33786 45048 67572 135144 587501 1175002 1762503 2350004 3525006 4700008 5287509 7050012 10575018 14100024 21150036 42300072