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493920030 = 235374110853
BaseRepresentation
bin11101011100001…
…001111100011110
31021102101201220110
4131130021330132
52002420420110
6121002230450
715145152042
oct3534117436
91242351813
10493920030
1123389447a
121194b5426
137b436896
1449852022
152d566a20
hex1d709f1e

493920030 has 64 divisors (see below), whose sum is σ = 1247254848. Its totient is φ = 125015040.

The previous prime is 493920019. The next prime is 493920041. The reversal of 493920030 is 30029394.

It is an interprime number because it is at equal distance from previous prime (493920019) and next prime (493920041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 493920030.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40084 + ... + 50936.

It is an arithmetic number, because the mean of its divisors is an integer number (19488357).

Almost surely, 2493920030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493920030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623627424).

493920030 is an abundant number, since it is smaller than the sum of its proper divisors (753334818).

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

493920030 is a wasteful number, since it uses less digits than its factorization.

493920030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 493920030 is about 22224.3116878791. The cubic root of 493920030 is about 790.4702802641.

The spelling of 493920030 in words is "four hundred ninety-three million, nine hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 41 74 82 111 123 185 205 222 246 370 410 555 615 1110 1230 1517 3034 4551 7585 9102 10853 15170 21706 22755 32559 45510 54265 65118 108530 162795 325590 401561 444973 803122 889946 1204683 1334919 2007805 2224865 2409366 2669838 4015610 4449730 6023415 6674595 12046830 13349190 16464001 32928002 49392003 82320005 98784006 164640010 246960015 493920030