Search a number
-
+
1475478480 = 243573141691
BaseRepresentation
bin101011111110010…
…0000001111010000
310210211101001222010
41113330200033100
511010210302410
6402224342520
751364234350
oct12774401720
93724331863
101475478480
11697961903
12352174a40
131a68b7ab8
14ddd5cb60
1589803c20
hex57f203d0

1475478480 has 320 divisors, whose sum is σ = 5535645696. Its totient is φ = 317952000.

The previous prime is 1475478461. The next prime is 1475478481. The reversal of 1475478480 is 848745741.

It is a super-2 number, since 2×14754784802 = 4354073489886220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1475478481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2134935 + ... + 2135625.

Almost surely, 21475478480 is an apocalyptic number.

1475478480 is a gapful number since it is divisible by the number (10) 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 1475478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767822848).

1475478480 is an abundant number, since it is smaller than the sum of its proper divisors (4060167216).

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

1475478480 is a wasteful number, since it uses less digits than its factorization.

1475478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The square root of 1475478480 is about 38411.9575132536. The cubic root of 1475478480 is about 1138.4421318357.

The spelling of 1475478480 in words is "one billion, four hundred seventy-five million, four hundred seventy-eight thousand, four hundred eighty".