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490711392 = 25331733409
BaseRepresentation
bin11101001111111…
…010100101100000
31021012100201111000
4131033322211200
52001110231032
6120405352000
715105656313
oct3517724540
91235321430
10490711392
11231aa2806
12118408600
137a882292
144925897a
152d130e7c
hex1d3fa960

490711392 has 96 divisors (see below), whose sum is σ = 1515477600. Its totient is φ = 153944064.

The previous prime is 490711391. The next prime is 490711393. The reversal of 490711392 is 293117094.

490711392 is a `hidden beast` number, since 490 + 71 + 13 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (490711391) and next prime (490711393).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490711391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017 + ... + 31392.

It is an arithmetic number, because the mean of its divisors is an integer number (15786225).

Almost surely, 2490711392 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 490711392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757738800).

490711392 is an abundant number, since it is smaller than the sum of its proper divisors (1024766208).

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

490711392 is a wasteful number, since it uses less digits than its factorization.

490711392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33445 (or 33431 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 490711392 is about 22152.0065005408. The cubic root of 490711392 is about 788.7548574105.

The spelling of 490711392 in words is "four hundred ninety million, seven hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 33409 66818 100227 133636 200454 267272 300681 400908 534544 567953 601362 801816 902043 1069088 1135906 1202724 1603632 1703859 1804086 2271812 2405448 3207264 3407718 3608172 4543624 4810896 5111577 6815436 7216344 9087248 9621792 10223154 13630872 14432688 15334731 18174496 20446308 27261744 28865376 30669462 40892616 54523488 61338924 81785232 122677848 163570464 245355696 490711392