Search a number
-
+
4629250560 = 293511371481
BaseRepresentation
bin1000100111110110…
…01100001000000000
3102221121202021221110
410103323030020000
533440042004220
62043204523320
7222500660214
oct42373141000
912847667843
104629250560
111a66100510
12a923b0540
1358a0bc11c
1431cb52944
151c161ebe0
hex113ecc200

4629250560 has 320 divisors, whose sum is σ = 16592045184. Its totient is φ = 1091174400.

The previous prime is 4629250559. The next prime is 4629250567. The reversal of 4629250560 is 650529264.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (4629250567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125020 + ... + 3126500.

Almost surely, 24629250560 is an apocalyptic number.

4629250560 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 4629250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296022592).

4629250560 is an abundant number, since it is smaller than the sum of its proper divisors (11962794624).

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

4629250560 is a wasteful number, since it uses less digits than its factorization.

4629250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 4629250560 is about 68038.5961054459. The cubic root of 4629250560 is about 1666.6211770695.

The spelling of 4629250560 in words is "four billion, six hundred twenty-nine million, two hundred fifty thousand, five hundred sixty".