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3902368080 = 2435139191361
BaseRepresentation
bin1110100010011001…
…0110100101010000
3101001221222211122010
43220212112211100
530443001234310
61443121142520
7165463403262
oct35046264520
911057884563
103902368080
11172286a996
1290aa8aa40
134a2629a50
142903bbb32
1517c8dc320
hexe8996950

3902368080 has 160 divisors (see below), whose sum is σ = 13051664640. Its totient is φ = 958832640.

The previous prime is 3902368073. The next prime is 3902368091. The reversal of 3902368080 is 808632093.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 2866600 + ... + 2867960.

It is an arithmetic number, because the mean of its divisors is an integer number (81572904).

Almost surely, 23902368080 is an apocalyptic number.

3902368080 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 3902368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525832320).

3902368080 is an abundant number, since it is smaller than the sum of its proper divisors (9149296560).

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

3902368080 is a wasteful number, since it uses less digits than its factorization.

3902368080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3902368080 is about 62468.9369206808. The cubic root of 3902368080 is about 1574.3794421001.

The spelling of 3902368080 in words is "three billion, nine hundred two million, three hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 919 1040 1361 1560 1838 2722 2757 3120 3676 4083 4595 5444 5514 6805 7352 8166 9190 10888 11028 11947 13610 13785 14704 16332 17693 18380 20415 21776 22056 23894 27220 27570 32664 35386 35841 36760 40830 44112 47788 53079 54440 55140 59735 65328 70772 71682 73520 81660 88465 95576 106158 108880 110280 119470 141544 143364 163320 176930 179205 191152 212316 220560 238940 265395 283088 286728 326640 353860 358410 424632 477880 530790 573456 707720 716820 849264 955760 1061580 1250759 1415440 1433640 2123160 2501518 2867280 3752277 4246320 5003036 6253795 7504554 10006072 12507590 15009108 16259867 18761385 20012144 25015180 30018216 32519734 37522770 48779601 50030360 60036432 65039468 75045540 81299335 97559202 100060720 130078936 150091080 162598670 195118404 243898005 260157872 300182160 325197340 390236808 487796010 650394680 780473616 975592020 1300789360 1951184040 3902368080