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5152142000 = 24534183757
BaseRepresentation
bin1001100110001011…
…10111001010110000
3111022001122221011002
410303011313022300
541022422021000
62211124141132
7241450325105
oct46305671260
914261587132
105152142000
1122042825a5
12bb95377a8
1364152a745
1436c386aac
152024aa8d5
hex1331772b0

5152142000 has 160 divisors (see below), whose sum is σ = 12932547264. Its totient is φ = 1983744000.

The previous prime is 5152141991. The next prime is 5152142033. The reversal of 5152142000 is 2412515.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6805622 + ... + 6806378.

Almost surely, 25152142000 is an apocalyptic number.

5152142000 is a gapful number since it is divisible by the number (50) 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 5152142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466273632).

5152142000 is an abundant number, since it is smaller than the sum of its proper divisors (7780405264).

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

5152142000 is a wasteful number, since it uses less digits than its factorization.

5152142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5152142000 is about 71778.4229417170. The cubic root of 5152142000 is about 1727.1468893467.

Adding to 5152142000 its reverse (2412515), we get a palindrome (5154554515).

The spelling of 5152142000 in words is "five billion, one hundred fifty-two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 83 100 125 164 166 200 205 250 328 332 400 410 415 500 656 664 757 820 830 1000 1025 1328 1514 1640 1660 2000 2050 2075 3028 3280 3320 3403 3785 4100 4150 5125 6056 6640 6806 7570 8200 8300 10250 10375 12112 13612 15140 16400 16600 17015 18925 20500 20750 27224 30280 31037 33200 34030 37850 41000 41500 54448 60560 62074 62831 68060 75700 82000 83000 85075 94625 124148 125662 136120 151400 155185 166000 170150 189250 248296 251324 272240 302800 310370 314155 340300 378500 425375 496592 502648 620740 628310 680600 757000 775925 850750 1005296 1241480 1256620 1361200 1514000 1551850 1570775 1701500 2482960 2513240 2576071 3103700 3141550 3403000 3879625 5026480 5152142 6207400 6283100 6806000 7759250 7853875 10304284 12414800 12566200 12880355 15518500 15707750 20608568 25132400 25760710 31037000 31415500 41217136 51521420 62074000 62831000 64401775 103042840 125662000 128803550 206085680 257607100 322008875 515214200 644017750 1030428400 1288035500 2576071000 5152142000