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4924463040 = 26355783109
BaseRepresentation
bin1001001011000010…
…10101011111000000
3110201012020122100000
410211201111133000
540041130304130
62132352200000
7233014150050
oct44541253700
913635218300
104924463040
1120a7804a72
12b55239000
13606301a73
1434a03b560
151dc4d5260
hex1258557c0

4924463040 has 672 divisors, whose sum is σ = 20503042560. Its totient is φ = 1101828096.

The previous prime is 4924463021. The next prime is 4924463053. The reversal of 4924463040 is 403644294.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 4924462986 and 4924463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45178506 + ... + 45178614.

It is an arithmetic number, because the mean of its divisors is an integer number (30510480).

Almost surely, 24924463040 is an apocalyptic number.

4924463040 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 4924463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251521280).

4924463040 is an abundant number, since it is smaller than the sum of its proper divisors (15578579520).

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

4924463040 is a wasteful number, since it uses less digits than its factorization.

4924463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4924463040 is about 70174.5184522131. The cubic root of 4924463040 is about 1701.3211229905.

The spelling of 4924463040 in words is "four billion, nine hundred twenty-four million, four hundred sixty-three thousand, forty".