Search a number
-
+
5464403460 = 2232537820481
BaseRepresentation
bin1010001011011010…
…00010111000000100
3112002211020110100100
411011231002320010
542142341402320
62302121044100
7252261443265
oct50555027004
915084213310
105464403460
11235457121a
121086026630
1369112c539
1439ba2c96c
1521eadc790
hex145b42e04

5464403460 has 72 divisors (see below), whose sum is σ = 17023360536. Its totient is φ = 1417789440.

The previous prime is 5464403447. The next prime is 5464403491. The reversal of 5464403460 is 643044645.

5464403460 is a `hidden beast` number, since 5 + 4 + 644 + 0 + 3 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134235396 + 5330168064 = 11586^2 + 73008^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403581 + ... + 416900.

It is an arithmetic number, because the mean of its divisors is an integer number (236435563).

Almost surely, 25464403460 is an apocalyptic number.

It is an amenable number.

5464403460 is an abundant number, since it is smaller than the sum of its proper divisors (11558957076).

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

5464403460 is a wasteful number, since it uses less digits than its factorization.

5464403460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820533 (or 820528 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5464403460 is about 73921.6034728685. The cubic root of 5464403460 is about 1761.3577956312.

The spelling of 5464403460 in words is "five billion, four hundred sixty-four million, four hundred three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 820481 1640962 2461443 3281924 4102405 4922886 7384329 8204810 9845772 12307215 14768658 16409620 24614430 29537316 30357797 36921645 49228860 60715594 73843290 91073391 121431188 147686580 151788985 182146782 273220173 303577970 364293564 455366955 546440346 607155940 910733910 1092880692 1366100865 1821467820 2732201730 5464403460