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2939352520 = 235133724129
BaseRepresentation
bin1010111100110010…
…1111010111001000
321120211220120122011
42233030233113020
522004433240040
61203400305304
7132561040606
oct25714572710
97524816564
102939352520
111279208065
126a0472234
1337ac6b960
141dc53a876
151230b43ea
hexaf32f5c8

2939352520 has 96 divisors (see below), whose sum is σ = 7321746600. Its totient is φ = 1055711232.

The previous prime is 2939352503. The next prime is 2939352523. The reversal of 2939352520 is 252539392.

It can be written as a sum of positive squares in 12 ways, for example, as 959636484 + 1979716036 = 30978^2 + 44494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2939352523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709816 + ... + 713944.

Almost surely, 22939352520 is an apocalyptic number.

2939352520 is a gapful number since it is divisible by the number (20) 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 2939352520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660873300).

2939352520 is an abundant number, since it is smaller than the sum of its proper divisors (4382394080).

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

2939352520 is a wasteful number, since it uses less digits than its factorization.

2939352520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The square root of 2939352520 is about 54215.7958532382. The cubic root of 2939352520 is about 1432.4645780475.

The spelling of 2939352520 in words is "two billion, nine hundred thirty-nine million, three hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1369 1480 1924 2405 2738 3848 4129 4810 5476 6845 8258 9620 10952 13690 16516 17797 19240 20645 27380 33032 35594 41290 53677 54760 71188 82580 88985 107354 142376 152773 165160 177970 214708 268385 305546 355940 429416 536770 611092 711880 763865 1073540 1222184 1527730 1986049 2147080 3055460 3972098 5652601 6110920 7944196 9930245 11305202 15888392 19860490 22610404 28263005 39720980 45220808 56526010 73483813 79441960 113052020 146967626 226104040 293935252 367419065 587870504 734838130 1469676260 2939352520