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4753938040 = 235316415981
BaseRepresentation
bin1000110110101101…
…10101011001111000
3110021022101002000021
410123112311121320
534214002004130
62103421220224
7225543543445
oct43326653170
913238332007
104753938040
11201a524015
12b08101674
135a9b977b7
1433152c9cc
151cc54e37a
hex11b5b5678

4753938040 has 64 divisors (see below), whose sum is σ = 11060478720. Its totient is φ = 1837056000.

The previous prime is 4753938019. The next prime is 4753938043. The reversal of 4753938040 is 408393574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4753938043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791850 + ... + 797830.

It is an arithmetic number, because the mean of its divisors is an integer number (172819980).

Almost surely, 24753938040 is an apocalyptic number.

4753938040 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 4753938040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530239360).

4753938040 is an abundant number, since it is smaller than the sum of its proper divisors (6306540680).

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

4753938040 is a wasteful number, since it uses less digits than its factorization.

4753938040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 4753938040 is about 68948.8073863501. The cubic root of 4753938040 is about 1681.4521222242.

The spelling of 4753938040 in words is "four billion, seven hundred fifty-three million, nine hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 641 1240 1282 2564 3205 5128 5981 6410 11962 12820 19871 23924 25640 29905 39742 47848 59810 79484 99355 119620 158968 185411 198710 239240 370822 397420 741644 794840 927055 1483288 1854110 3708220 3833821 7416440 7667642 15335284 19169105 30670568 38338210 76676420 118848451 153352840 237696902 475393804 594242255 950787608 1188484510 2376969020 4753938040