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4753969920 = 28335743457
BaseRepresentation
bin1000110110101101…
…11101001100000000
3110021022102200202000
410123112331030000
534214004014140
62103422024000
7225544035420
oct43326751400
913238380660
104753969920
11201a545a67
12b08118000
135a9ba916b
1433153a480
151cc558a30
hex11b5bd300

4753969920 has 576 divisors, whose sum is σ = 19771530240. Its totient is φ = 1059028992.

The previous prime is 4753969897. The next prime is 4753969921. The reversal of 4753969920 is 299693574.

4753969920 is a `hidden beast` number, since 47 + 539 + 69 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4753969921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10402332 + ... + 10402788.

Almost surely, 24753969920 is an apocalyptic number.

4753969920 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 4753969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885765120).

4753969920 is an abundant number, since it is smaller than the sum of its proper divisors (15017560320).

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

4753969920 is a wasteful number, since it uses less digits than its factorization.

4753969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 4753969920 is about 68949.0385719772. The cubic root of 4753969920 is about 1681.4558808326.

The spelling of 4753969920 in words is "four billion, seven hundred fifty-three million, nine hundred sixty-nine thousand, nine hundred twenty".