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4295832948 = 22331110335107
BaseRepresentation
bin1000000000000110…
…10011010101110100
3102002101100220222000
410000003103111310
532244213123243
61550134335300
7211311656211
oct40003232564
912071326860
104295832948
111904981970
129ba7ba530
13535cc08b4
142ca760b08
151a220e5d3
hex1000d3574

4295832948 has 96 divisors (see below), whose sum is σ = 12268139520. Its totient is φ = 1289092320.

The previous prime is 4295832929. The next prime is 4295833013. The reversal of 4295832948 is 8492385924.

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

It is a junction number, because it is equal to n+sod(n) for n = 4295832894 and 4295832903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104811 + ... + 139917.

It is an arithmetic number, because the mean of its divisors is an integer number (127793120).

Almost surely, 24295832948 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 4295832948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134069760).

4295832948 is an abundant number, since it is smaller than the sum of its proper divisors (7972306572).

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

4295832948 is a wasteful number, since it uses less digits than its factorization.

4295832948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35234 (or 35226 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4295832948 is about 65542.6040678885. The cubic root of 4295832948 is about 1625.6078764681.

The spelling of 4295832948 in words is "four billion, two hundred ninety-five million, eight hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 594 618 927 1133 1188 1236 1854 2266 2781 3399 3708 4532 5562 6798 10197 11124 13596 20394 30591 35107 40788 61182 70214 105321 122364 140428 210642 315963 386177 421284 631926 772354 947889 1158531 1263852 1544708 1895778 2317062 3475593 3616021 3791556 4634124 6951186 7232042 10426779 10848063 13902372 14464084 20853558 21696126 32544189 39776231 41707116 43392252 65088378 79552462 97632567 119328693 130176756 159104924 195265134 238657386 357986079 390530268 477314772 715972158 1073958237 1431944316 2147916474 4295832948