Search a number
-
+
492530040 = 233259711409
BaseRepresentation
bin11101010110110…
…110100101111000
31021022210010012100
4131112312211320
52002041430130
6120512343400
715130302432
oct3526664570
91238703170
10492530040
11233025122
12118b44b60
137b06acc2
14495ad652
152d38ec60
hex1d5b6978

492530040 has 96 divisors (see below), whose sum is σ = 1603508400. Its totient is φ = 131112960.

The previous prime is 492530029. The next prime is 492530047. The reversal of 492530040 is 40035294.

492530040 is a `hidden beast` number, since 4 + 92 + 530 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 492529986 and 492530013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492530047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348856 + ... + 350264.

Almost surely, 2492530040 is an apocalyptic number.

492530040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801754200).

492530040 is an abundant number, since it is smaller than the sum of its proper divisors (1110978360).

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

492530040 is a wasteful number, since it uses less digits than its factorization.

492530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 492530040 is about 22193.0178209274. The cubic root of 492530040 is about 789.7280696298.

The spelling of 492530040 in words is "four hundred ninety-two million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 971 1409 1942 2818 2913 3884 4227 4855 5636 5826 7045 7768 8454 8739 9710 11272 11652 12681 14090 14565 16908 17478 19420 21135 23304 25362 28180 29130 33816 34956 38840 42270 43695 50724 56360 58260 63405 69912 84540 87390 101448 116520 126810 169080 174780 253620 349560 507240 1368139 2736278 4104417 5472556 6840695 8208834 10945112 12313251 13681390 16417668 20522085 24626502 27362780 32835336 41044170 49253004 54725560 61566255 82088340 98506008 123132510 164176680 246265020 492530040