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4252682160 = 243257380911
BaseRepresentation
bin1111110101111010…
…1100011110110000
3101222101011122012200
43331132230132300
532202141312120
61541553423200
7210246126156
oct37536543660
911871148180
104252682160
11189258a061
129a826ab00
1352a092b9c
142c4b2b3d6
1519d538e90
hexfd7ac7b0

4252682160 has 120 divisors (see below), whose sum is σ = 14477745984. Its totient is φ = 1118499840.

The previous prime is 4252682131. The next prime is 4252682171. The reversal of 4252682160 is 612862524.

It is a happy number.

4252682160 is a `hidden beast` number, since 42 + 526 + 82 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12105 + ... + 93015.

Almost surely, 24252682160 is an apocalyptic number.

4252682160 is a gapful number since it is divisible by the number (40) 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 4252682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238872992).

4252682160 is an abundant number, since it is smaller than the sum of its proper divisors (10225063824).

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

4252682160 is a wasteful number, since it uses less digits than its factorization.

4252682160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81003 (or 80994 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4252682160 is about 65212.5920355877. The cubic root of 4252682160 is about 1620.1465802439.

The spelling of 4252682160 in words is "four billion, two hundred fifty-two million, six hundred eighty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4380 5256 5840 6570 8760 10512 13140 17520 26280 52560 80911 161822 242733 323644 404555 485466 647288 728199 809110 970932 1213665 1294576 1456398 1618220 1941864 2427330 2912796 3236440 3640995 3883728 4854660 5825592 5906503 6472880 7281990 9709320 11651184 11813006 14563980 17719509 19418640 23626012 29127960 29532515 35439018 47252024 53158527 58255920 59065030 70878036 88597545 94504048 106317054 118130060 141756072 177195090 212634108 236260120 265792635 283512144 354390180 425268216 472520240 531585270 708780360 850536432 1063170540 1417560720 2126341080 4252682160