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4743585040 = 245337175949
BaseRepresentation
bin1000110101011110…
…10101110100010000
3110020120220002100211
410122233111310100
534203324210130
62102411253504
7225356543665
oct43257256420
913216802324
104743585040
1120146a2717
12b0474a294
135a79b136c
1432ddd5a6c
151cb6a6a2a
hex11abd5d10

4743585040 has 40 divisors (see below), whose sum is σ = 11061624600. Its totient is φ = 1891792896.

The previous prime is 4743585031. The next prime is 4743585043. The reversal of 4743585040 is 405853474.

It can be written as a sum of positive squares in 4 ways, for example, as 1135420416 + 3608164624 = 33696^2 + 60068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4743584984 and 4743585002.

It is not an unprimeable number, because it can be changed into a prime (4743585043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61015 + ... + 114934.

It is an arithmetic number, because the mean of its divisors is an integer number (276540615).

Almost surely, 24743585040 is an apocalyptic number.

4743585040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4743585040 is an abundant number, since it is smaller than the sum of its proper divisors (6318039560).

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

4743585040 is a wasteful number, since it uses less digits than its factorization.

4743585040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176299 (or 176293 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The square root of 4743585040 is about 68873.6890256359. The cubic root of 4743585040 is about 1680.2306278243.

The spelling of 4743585040 in words is "four billion, seven hundred forty-three million, five hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 337 674 1348 1685 2696 3370 5392 6740 13480 26960 175949 351898 703796 879745 1407592 1759490 2815184 3518980 7037960 14075920 59294813 118589626 237179252 296474065 474358504 592948130 948717008 1185896260 2371792520 4743585040