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4946934720 = 2635713173331
BaseRepresentation
bin1001001101101110…
…00011101111000000
3110202202112022200110
410212313003233000
540112403402340
62134513551320
7233406152130
oct44667035700
913682468613
104946934720
112109463302
12b60875540
1360ab6c210
1434d00aac0
151de473680
hex126dc3bc0

4946934720 has 448 divisors, whose sum is σ = 20474366976. Its totient is φ = 982056960.

The previous prime is 4946934697. The next prime is 4946934763. The reversal of 4946934720 is 274396494.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4946934720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1483455 + ... + 1486785.

It is an arithmetic number, because the mean of its divisors is an integer number (45701712).

Almost surely, 24946934720 is an apocalyptic number.

4946934720 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 4946934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237183488).

4946934720 is an abundant number, since it is smaller than the sum of its proper divisors (15527432256).

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

4946934720 is a wasteful number, since it uses less digits than its factorization.

4946934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 4946934720 is about 70334.4490274858. The cubic root of 4946934720 is about 1703.9050620474.

The spelling of 4946934720 in words is "four billion, nine hundred forty-six million, nine hundred thirty-four thousand, seven hundred twenty".