Search a number
-
+
5009428600 = 2352112277013
BaseRepresentation
bin1001010101001010…
…11101000001111000
3110221010010100011121
410222211131001320
540224403203400
62145025235024
7235065304051
oct45245350170
913833110147
105009428600
112140767940
12b79792a74
1361aab0347
14357437728
151e4bba21a
hex12a95d078

5009428600 has 48 divisors (see below), whose sum is σ = 12705738120. Its totient is φ = 1821609600.

The previous prime is 5009428583. The next prime is 5009428609. The reversal of 5009428600 is 68249005.

It is a happy number.

It is a super-3 number, since 3×50094286003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009428609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1136307 + ... + 1140706.

Almost surely, 25009428600 is an apocalyptic number.

5009428600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5009428600 is an abundant number, since it is smaller than the sum of its proper divisors (7696309520).

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

5009428600 is a wasteful number, since it uses less digits than its factorization.

5009428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277040 (or 2277031 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5009428600 is about 70777.3169878599. The cubic root of 5009428600 is about 1711.0501170452.

The spelling of 5009428600 in words is "five billion, nine million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2277013 4554026 9108052 11385065 18216104 22770130 25047143 45540260 50094286 56925325 91080520 100188572 113850650 125235715 200377144 227701300 250471430 455402600 500942860 626178575 1001885720 1252357150 2504714300 5009428600