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4940602128 = 24367115501
BaseRepresentation
bin1001001100111101…
…11001101100010000
3110202022121121000000
410212132321230100
540104243232003
62134130130000
7233301265560
oct44636715420
913668547000
104940602128
112105928560
12b5a720900
13609762a17
1434c23cda0
151ddb221a3
hex1267b9b10

4940602128 has 280 divisors, whose sum is σ = 17896729536. Its totient is φ = 1283040000.

The previous prime is 4940602127. The next prime is 4940602151. The reversal of 4940602128 is 8212060494.

4940602128 is a `hidden beast` number, since 4 + 9 + 40 + 602 + 1 + 2 + 8 = 666.

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 = 4940602092 and 4940602101.

It is not an unprimeable number, because it can be changed into a prime (4940602123) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 895378 + ... + 900878.

Almost surely, 24940602128 is an apocalyptic number.

4940602128 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 4940602128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8948364768).

4940602128 is an abundant number, since it is smaller than the sum of its proper divisors (12956127408).

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

4940602128 is a wasteful number, since it uses less digits than its factorization.

4940602128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4940602128 is about 70289.4168989899. The cubic root of 4940602128 is about 1703.1776929041.

The spelling of 4940602128 in words is "four billion, nine hundred forty million, six hundred two thousand, one hundred twenty-eight".