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3842023760 = 245373533677
BaseRepresentation
bin1110010100000000…
…1010000101010000
3100220202110000210022
43211000022011100
530332024230020
61433123523012
7164131443311
oct34500120520
910822400708
103842023760
1116a17a4353
128b2829468
13492c8c153
14286390608
1517746c625
hexe500a150

3842023760 has 80 divisors (see below), whose sum is σ = 9202620816. Its totient is φ = 1490632704.

The previous prime is 3842023751. The next prime is 3842023793. The reversal of 3842023760 is 673202483.

It can be written as a sum of positive squares in 8 ways, for example, as 271722256 + 3570301504 = 16484^2 + 59752^2 .

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

It is a super-2 number, since 2×38420237602 = 29522293144809075200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3842023760.

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, 1043042 + ... + 1046718.

Almost surely, 23842023760 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 3842023760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601310408).

3842023760 is an abundant number, since it is smaller than the sum of its proper divisors (5360597056).

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

3842023760 is a wasteful number, since it uses less digits than its factorization.

3842023760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 3842023760 is about 61984.0605317206. The cubic root of 3842023760 is about 1566.2221037289. Note that the first 3 decimals are identical.

The spelling of 3842023760 in words is "three billion, eight hundred forty-two million, twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 353 370 592 706 740 1412 1480 1765 2824 2960 3530 3677 5648 7060 7354 13061 14120 14708 18385 26122 28240 29416 36770 52244 58832 65305 73540 104488 130610 136049 147080 208976 261220 272098 294160 522440 544196 680245 1044880 1088392 1297981 1360490 2176784 2595962 2720980 5191924 5441960 6489905 10383848 10883920 12979810 20767696 25959620 48025297 51919240 96050594 103838480 192101188 240126485 384202376 480252970 768404752 960505940 1921011880 3842023760