Search a number
-
+
4740054000 = 243531126529
BaseRepresentation
bin1000110101000011…
…10111101111110000
3110020100020200200120
410122201313233300
534201423212000
62102203450240
7225314536263
oct43241675760
913210220616
104740054000
112012700800
12b03526980
135a70460a6
1432d756cda
151cb20a6a0
hex11a877bf0

4740054000 has 240 divisors, whose sum is σ = 16800070560. Its totient is φ = 1148928000.

The previous prime is 4740053953. The next prime is 4740054017. The reversal of 4740054000 is 4500474.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×47400540002 = 44936223845832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722736 + ... + 729264.

It is an arithmetic number, because the mean of its divisors is an integer number (70000294).

Almost surely, 24740054000 is an apocalyptic number.

4740054000 is a gapful number since it is divisible by the number (40) 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 4740054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400035280).

4740054000 is an abundant number, since it is smaller than the sum of its proper divisors (12060016560).

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

4740054000 is a wasteful number, since it uses less digits than its factorization.

4740054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4740054000 is about 68848.0500813204. The cubic root of 4740054000 is about 1679.8136131090.

Adding to 4740054000 its reverse (4500474), we get a palindrome (4744554474).

The spelling of 4740054000 in words is "four billion, seven hundred forty million, fifty-four thousand".