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4940475456 = 26371931792
BaseRepresentation
bin1001001100111100…
…11010110001000000
3110202022101011020110
410212132122301000
540104230203311
62134123311320
7233300230350
oct44636326100
913668334213
104940475456
112105851374
12b5a67b540
1360971a177
1434c208b60
151ddae98a6
hex12679ac40

4940475456 has 336 divisors, whose sum is σ = 16440668160. Its totient is φ = 1277752320.

The previous prime is 4940475433. The next prime is 4940475469. The reversal of 4940475456 is 6545740494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 62537625 + ... + 62537703.

It is an arithmetic number, because the mean of its divisors is an integer number (48930560).

Almost surely, 24940475456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4940475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220334080).

4940475456 is an abundant number, since it is smaller than the sum of its proper divisors (11500192704).

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

4940475456 is a wasteful number, since it uses less digits than its factorization.

4940475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 4940475456 is about 70288.5158187310. The cubic root of 4940475456 is about 1703.1631368666.

The spelling of 4940475456 in words is "four billion, nine hundred forty million, four hundred seventy-five thousand, four hundred fifty-six".