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4252150240 = 255137128793
BaseRepresentation
bin1111110101110010…
…1010100111100000
3101222100011121112221
43331130222213200
532202022301430
61541534200424
7210241452322
oct37534524740
911870147487
104252150240
111892256458
129a8053114
13529c37a40
142c4a2d612
1519d48157a
hexfd72a9e0

4252150240 has 96 divisors (see below), whose sum is σ = 10971205056. Its totient is φ = 1547857920.

The previous prime is 4252150213. The next prime is 4252150249. The reversal of 4252150240 is 420512524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252150249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133284 + ... + 162076.

It is an arithmetic number, because the mean of its divisors is an integer number (114283386).

Almost surely, 24252150240 is an apocalyptic number.

4252150240 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 4252150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485602528).

4252150240 is an abundant number, since it is smaller than the sum of its proper divisors (6719054816).

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

4252150240 is a wasteful number, since it uses less digits than its factorization.

4252150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28892 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4252150240 is about 65208.5135545965. The cubic root of 4252150240 is about 1620.0790288124.

Adding to 4252150240 its reverse (420512524), we get a palindrome (4672662764).

The spelling of 4252150240 in words is "four billion, two hundred fifty-two million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 568 710 923 1040 1136 1420 1846 2080 2272 2840 3692 4615 5680 7384 9230 11360 14768 18460 28793 29536 36920 57586 73840 115172 143965 147680 230344 287930 374309 460688 575860 748618 921376 1151720 1497236 1871545 2044303 2303440 2994472 3743090 4088606 4606880 5988944 7486180 8177212 10221515 11977888 14972360 16354424 20443030 26575939 29944720 32708848 40886060 53151878 59889440 65417696 81772120 106303756 132879695 163544240 212607512 265759390 327088480 425215024 531518780 850430048 1063037560 2126075120 4252150240