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4539138800 = 2452713711833
BaseRepresentation
bin1000011101000110…
…11100001011110000
3102201100012010211212
410032203130023300
533244004420200
62030225255252
7220325020550
oct41643341360
912640163755
104539138800
111a1a253189
12a68194528
1357452b361
14310bb7160
151b8770035
hex10e8dc2f0

4539138800 has 120 divisors (see below), whose sum is σ = 12555211296. Its totient is φ = 1544785920.

The previous prime is 4539138797. The next prime is 4539138853. The reversal of 4539138800 is 88319354.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 377684 + ... + 389516.

Almost surely, 24539138800 is an apocalyptic number.

4539138800 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 4539138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277605648).

4539138800 is an abundant number, since it is smaller than the sum of its proper divisors (8016072496).

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

4539138800 is a wasteful number, since it uses less digits than its factorization.

4539138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11984 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 4539138800 is about 67373.1311429119. The cubic root of 4539138800 is about 1655.7362392739.

The spelling of 4539138800 in words is "four billion, five hundred thirty-nine million, one hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 137 140 175 200 274 280 350 400 548 560 685 700 959 1096 1370 1400 1918 2192 2740 2800 3425 3836 4795 5480 6850 7672 9590 10960 11833 13700 15344 19180 23666 23975 27400 38360 47332 47950 54800 59165 76720 82831 94664 95900 118330 165662 189328 191800 236660 295825 331324 383600 414155 473320 591650 662648 828310 946640 1183300 1325296 1621121 1656620 2070775 2366600 3242242 3313240 4141550 4733200 6484484 6626480 8105605 8283100 11347847 12968968 16211210 16566200 22695694 25937936 32422420 33132400 40528025 45391388 56739235 64844840 81056050 90782776 113478470 129689680 162112100 181565552 226956940 283696175 324224200 453913880 567392350 648448400 907827760 1134784700 2269569400 4539138800