Search a number
-
+
3950092620 = 22325373171871
BaseRepresentation
bin1110101101110001…
…1010000101001100
3101012021210111101200
43223130122011030
531042210430440
61451544105500
7166613143005
oct35334320514
911167714350
103950092620
1117477a7061
12922a65290
134ac499516
142968821ac
15181bb7c30
hexeb71a14c

3950092620 has 144 divisors (see below), whose sum is σ = 12351201408. Its totient is φ = 1021109760.

The previous prime is 3950092547. The next prime is 3950092621. The reversal of 3950092620 is 262900593.

3950092620 is a `hidden beast` number, since 3 + 9 + 500 + 92 + 62 + 0 = 666.

3950092620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3950092621) 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, 2110285 + ... + 2112155.

It is an arithmetic number, because the mean of its divisors is an integer number (85772232).

Almost surely, 23950092620 is an apocalyptic number.

3950092620 is a gapful number since it is divisible by the number (30) 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 3950092620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175600704).

3950092620 is an abundant number, since it is smaller than the sum of its proper divisors (8401108788).

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

3950092620 is a wasteful number, since it uses less digits than its factorization.

3950092620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3950092620 is about 62849.7622907199. The cubic root of 3950092620 is about 1580.7714840506.

The spelling of 3950092620 in words is "three billion, nine hundred fifty million, ninety-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 317 333 370 444 555 634 666 740 951 1110 1268 1332 1585 1665 1871 1902 2220 2853 3170 3330 3742 3804 4755 5613 5706 6340 6660 7484 9355 9510 11226 11412 11729 14265 16839 18710 19020 22452 23458 28065 28530 33678 35187 37420 46916 56130 57060 58645 67356 69227 70374 84195 105561 112260 117290 138454 140748 168390 175935 207681 211122 234580 276908 336780 346135 351870 415362 422244 527805 593107 623043 692270 703740 830724 1038405 1055610 1186214 1246086 1384540 1779321 2076810 2111220 2372428 2492172 2965535 3115215 3558642 4153620 5337963 5931070 6230430 7117284 8896605 10675926 11862140 12460860 17793210 21351852 21944959 26689815 35586420 43889918 53379630 65834877 87779836 106759260 109724795 131669754 197504631 219449590 263339508 329174385 395009262 438899180 658348770 790018524 987523155 1316697540 1975046310 3950092620