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3897319280 = 245296127539
BaseRepresentation
bin1110100001001100…
…0101111101110000
3101001121111022222112
43220103011331300
530440203204110
61442421024452
7165402444611
oct35023057560
911047438875
103897319280
11171aa31728
12909255128
134a157c9aa
1428d865c08
1517c241405
hexe84c5f70

3897319280 has 80 divisors (see below), whose sum is σ = 9527738400. Its totient is φ = 1480442880.

The previous prime is 3897319271. The next prime is 3897319303. The reversal of 3897319280 is 829137983.

It is a happy number.

3897319280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127751 + ... + 155289.

It is an arithmetic number, because the mean of its divisors is an integer number (119096730).

Almost surely, 23897319280 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 3897319280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763869200).

3897319280 is an abundant number, since it is smaller than the sum of its proper divisors (5630419120).

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

3897319280 is a wasteful number, since it uses less digits than its factorization.

3897319280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27642 (or 27636 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 3897319280 is about 62428.5133572793. The cubic root of 3897319280 is about 1573.7001829772.

The spelling of 3897319280 in words is "three billion, eight hundred ninety-seven million, three hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 145 232 244 290 305 464 488 580 610 976 1160 1220 1769 2320 2440 3538 4880 7076 8845 14152 17690 27539 28304 35380 55078 70760 110156 137695 141520 220312 275390 440624 550780 798631 1101560 1597262 1679879 2203120 3194524 3359758 3993155 6389048 6719516 7986310 8399395 12778096 13439032 15972620 16798790 26878064 31945240 33597580 48716491 63890480 67195160 97432982 134390320 194865964 243582455 389731928 487164910 779463856 974329820 1948659640 3897319280