Search a number
-
+
4932190848 = 2731319149349
BaseRepresentation
bin1001001011111101…
…10100001010000000
3110201201210020220010
410211332310022000
540100120101343
62133225544520
7233136634104
oct44576641200
913651706803
104932190848
112101102a92
12b57945140
13607aa9330
1434b08d904
151dd00ed33
hex125fb4280

4932190848 has 256 divisors, whose sum is σ = 14994000000. Its totient is φ = 1423982592.

The previous prime is 4932190831. The next prime is 4932190897. The reversal of 4932190848 is 8480912394.

It is a super-3 number, since 3×49321908483 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 4932190797 and 4932190806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14132178 + ... + 14132526.

Almost surely, 24932190848 is an apocalyptic number.

4932190848 is a gapful number since it is divisible by the number (48) 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 4932190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497000000).

4932190848 is an abundant number, since it is smaller than the sum of its proper divisors (10061809152).

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

4932190848 is a wasteful number, since it uses less digits than its factorization.

4932190848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 4932190848 is about 70229.5582215921. The cubic root of 4932190848 is about 1702.2106014680.

The spelling of 4932190848 in words is "four billion, nine hundred thirty-two million, one hundred ninety thousand, eight hundred forty-eight".