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42034752 = 263272977
BaseRepresentation
bin1010000001011…
…0011001000000
32221002120211200
42200112121000
541230103002
64100541200
71020201204
oct240263100
987076750
1042034752
1121800371
12120b1800
138929a46
145822b04
153a54b1c
hex2816640

42034752 has 42 divisors (see below), whose sum is σ = 120486678. Its totient is φ = 14011392.

The previous prime is 42034723. The next prime is 42034753. The reversal of 42034752 is 25743024.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 13133376 = 5376^2 + 3624^2 .

It is not an unprimeable number, because it can be changed into a prime (42034753) 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, 35913 + ... + 37064.

Almost surely, 242034752 is an apocalyptic number.

It is an amenable number.

42034752 is an abundant number, since it is smaller than the sum of its proper divisors (78451926).

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

42034752 is a wasteful number, since it uses less digits than its factorization.

42034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72995 (or 72982 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42034752 is about 6483.4213190259. The cubic root of 42034752 is about 347.6985101837.

Adding to 42034752 its reverse (25743024), we get a palindrome (67777776).

The spelling of 42034752 in words is "forty-two million, thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 72977 145954 218931 291908 437862 583816 656793 875724 1167632 1313586 1751448 2335264 2627172 3502896 4670528 5254344 7005792 10508688 14011584 21017376 42034752