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3928072620 = 2235293172823
BaseRepresentation
bin1110101000100001…
…1010000110101100
3101010202100202122010
43222020122012230
531021041310440
61445440121220
7166225031523
oct35210320654
911122322563
103928072620
11173632710a
12917606210
134a7a59834
1429398d4ba
1517ecb8580
hexea21a1ac

3928072620 has 96 divisors (see below), whose sum is σ = 11745054720. Its totient is φ = 978727680.

The previous prime is 3928072607. The next prime is 3928072627. The reversal of 3928072620 is 262708293.

It is not an unprimeable number, because it can be changed into a prime (3928072627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17529 + ... + 90351.

It is an arithmetic number, because the mean of its divisors is an integer number (122344320).

Almost surely, 23928072620 is an apocalyptic number.

3928072620 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 3928072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872527360).

3928072620 is an abundant number, since it is smaller than the sum of its proper divisors (7816982100).

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

3928072620 is a wasteful number, since it uses less digits than its factorization.

3928072620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72895 (or 72893 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3928072620 is about 62674.3378106223. The cubic root of 3928072620 is about 1577.8286442012.

The spelling of 3928072620 in words is "three billion, nine hundred twenty-eight million, seventy-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 8990 10788 13485 17980 26970 53940 72823 145646 218469 291292 364115 436938 728230 873876 1092345 1456460 2111867 2184690 2257513 4223734 4369380 4515026 6335601 6772539 8447468 9030052 10559335 11287565 12671202 13545078 21118670 22575130 25342404 27090156 31678005 33862695 42237340 45150260 63356010 65467877 67725390 126712020 130935754 135450780 196403631 261871508 327339385 392807262 654678770 785614524 982018155 1309357540 1964036310 3928072620