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3945008620 = 22572291271093
BaseRepresentation
bin1110101100100100…
…0000110111101100
3101011221020012110101
43223021000313230
531034410233440
61451243120444
7166522006600
oct35311006754
911157205411
103945008620
111744944403
12921213124
134ab409437
14295d1b500
1518151169a
hexeb240dec

3945008620 has 144 divisors (see below), whose sum is σ = 10057098240. Its totient is φ = 1294465536.

The previous prime is 3945008603. The next prime is 3945008621. The reversal of 3945008620 is 268005493.

3945008620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3945008620.

It is not an unprimeable number, because it can be changed into a prime (3945008621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3608794 + ... + 3609886.

It is an arithmetic number, because the mean of its divisors is an integer number (69840960).

Almost surely, 23945008620 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 3945008620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028549120).

3945008620 is an abundant number, since it is smaller than the sum of its proper divisors (6112089620).

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

3945008620 is a wasteful number, since it uses less digits than its factorization.

3945008620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 3945008620 is about 62809.3036102137. The cubic root of 3945008620 is about 1580.0930111351.

The spelling of 3945008620 in words is "three billion, nine hundred forty-five million, eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 127 140 145 196 203 245 254 290 406 490 508 580 635 812 889 980 1015 1093 1270 1421 1778 2030 2186 2540 2842 3556 3683 4060 4372 4445 5465 5684 6223 7105 7366 7651 8890 10930 12446 14210 14732 15302 17780 18415 21860 24892 25781 28420 30604 31115 31697 36830 38255 51562 53557 62230 63394 73660 76510 103124 107114 124460 126788 128905 138811 153020 158485 180467 214228 221879 257810 267785 277622 316970 360934 443758 515620 535570 555244 633940 694055 721868 887516 902335 971677 1071140 1109395 1388110 1553153 1804670 1943354 2218790 2776220 3106306 3609340 3886708 4025519 4437580 4858385 6212612 6801739 7765765 8051038 9716770 13603478 15531530 16102076 19433540 20127595 27206956 28178633 31063060 34008695 40255190 56357266 68017390 80510380 112714532 136034780 140893165 197250431 281786330 394500862 563572660 789001724 986252155 1972504310 3945008620