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52382023000 = 2353179353829
BaseRepresentation
bin110000110010001101…
…100011110101011000
312000012121000110212221
4300302031203311120
51324234244214000
640021452313424
73533034564136
oct606215436530
9160177013787
1052382023000
11202403171aa
12a19a772874
134c2a402ca8
14276cc30756
151568a6961a
hexc32363d58

52382023000 has 128 divisors (see below), whose sum is σ = 123756984000. Its totient is φ = 20751667200.

The previous prime is 52382022989. The next prime is 52382023009. The reversal of 52382023000 is 32028325.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52382023009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63186586 + ... + 63187414.

Almost surely, 252382023000 is an apocalyptic number.

52382023000 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 52382023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61878492000).

52382023000 is an abundant number, since it is smaller than the sum of its proper divisors (71374961000).

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

52382023000 is a wasteful number, since it uses less digits than its factorization.

52382023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 52382023000 in words is "fifty-two billion, three hundred eighty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 353 358 500 706 716 829 895 1000 1412 1432 1658 1765 1790 2824 3316 3530 3580 4145 4475 6632 7060 7160 8290 8825 8950 14120 16580 17650 17900 20725 22375 33160 35300 35800 41450 44125 44750 63187 70600 82900 88250 89500 103625 126374 148391 165800 176500 179000 207250 252748 292637 296782 315935 353000 414500 505496 585274 593564 631870 741955 829000 1170548 1187128 1263740 1463185 1483910 1579675 2341096 2527480 2926370 2967820 3159350 3709775 5852740 5935640 6318700 7315925 7419550 7898375 11705480 12637400 14631850 14839100 15796750 18548875 29263700 29678200 31593500 36579625 37097750 52382023 58527400 63187000 73159250 74195500 104764046 146318500 148391000 209528092 261910115 292637000 419056184 523820230 1047640460 1309550575 2095280920 2619101150 5238202300 6547752875 10476404600 13095505750 26191011500 52382023000