Search a number
-
+
1493713872 = 24347229719
BaseRepresentation
bin101100100001000…
…0100001111010000
310212002200112020000
41121002010033100
511024342320442
6404115250000
752005233640
oct13102041720
93762615200
101493713872
116a7187382
123582a9900
131aa600c81
14102548520
158b206d4c
hex590843d0

1493713872 has 200 divisors, whose sum is σ = 4969324800. Its totient is φ = 424320768.

The previous prime is 1493713867. The next prime is 1493713883. The reversal of 1493713872 is 2783173941.

It is a super-2 number, since 2×14937138722 = 4462362262810464768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2077129 + ... + 2077847.

It is an arithmetic number, because the mean of its divisors is an integer number (24846624).

Almost surely, 21493713872 is an apocalyptic number.

1493713872 is a gapful number since it is divisible by the number (12) 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 1493713872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484662400).

1493713872 is an abundant number, since it is smaller than the sum of its proper divisors (3475610928).

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

1493713872 is a wasteful number, since it uses less digits than its factorization.

1493713872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1493713872 is about 38648.5946963146. The cubic root of 1493713872 is about 1143.1129324007.

The spelling of 1493713872 in words is "one billion, four hundred ninety-three million, seven hundred thirteen thousand, eight hundred seventy-two".