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3898290760 = 2357132394481
BaseRepresentation
bin1110100001011011…
…0011001001001000
3101001200022200121021
43220112303021020
530440430301020
61442453522224
7165413632120
oct35026631110
911050280537
103898290760
111720535601
12909643374
134a182cc30
1428da39c80
1517c3841aa
hexe85b3248

3898290760 has 128 divisors (see below), whose sum is σ = 10842854400. Its totient is φ = 1228308480.

The previous prime is 3898290731. The next prime is 3898290793. The reversal of 3898290760 is 670928983.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3898290698 and 3898290707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867720 + ... + 872200.

It is an arithmetic number, because the mean of its divisors is an integer number (84709800).

Almost surely, 23898290760 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 3898290760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421427200).

3898290760 is an abundant number, since it is smaller than the sum of its proper divisors (6944563640).

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

3898290760 is a wasteful number, since it uses less digits than its factorization.

3898290760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 3898290760 is about 62436.2936119690. The cubic root of 3898290760 is about 1573.8309302194.

The spelling of 3898290760 in words is "three billion, eight hundred ninety-eight million, two hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 239 260 280 364 455 478 520 728 910 956 1195 1673 1820 1912 2390 3107 3346 3640 4481 4780 6214 6692 8365 8962 9560 12428 13384 15535 16730 17924 21749 22405 24856 31070 31367 33460 35848 43498 44810 58253 62140 62734 66920 86996 89620 108745 116506 124280 125468 156835 173992 179240 217490 233012 250936 291265 313670 407771 434980 466024 582530 627340 815542 869960 1070959 1165060 1254680 1631084 2038855 2141918 2330120 3262168 4077710 4283836 5354795 7496713 8155420 8567672 10709590 13922467 14993426 16310840 21419180 27844934 29986852 37483565 42838360 55689868 59973704 69612335 74967130 97457269 111379736 139224670 149934260 194914538 278449340 299868520 389829076 487286345 556898680 779658152 974572690 1949145380 3898290760