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534242000 = 24531719827
BaseRepresentation
bin11111110101111…
…110001011010000
31101020021022020202
4133311332023100
52043231221000
6125002354332
716144660565
oct3765761320
91336238222
10534242000
11254624a16
1212aabb9a8
13868b3b36
1450d4a86c
1531d7ddd5
hex1fd7e2d0

534242000 has 160 divisors (see below), whose sum is σ = 1441514880. Its totient is φ = 190310400.

The previous prime is 534241979. The next prime is 534242029. The reversal of 534242000 is 242435.

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

It is a congruent number.

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, 645587 + ... + 646413.

It is an arithmetic number, because the mean of its divisors is an integer number (9009468).

Almost surely, 2534242000 is an apocalyptic number.

534242000 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 534242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720757440).

534242000 is an abundant number, since it is smaller than the sum of its proper divisors (907272880).

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

534242000 is a wasteful number, since it uses less digits than its factorization.

534242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 534242000 is about 23113.6756055803. The cubic root of 534242000 is about 811.4205626164.

Adding to 534242000 its reverse (242435), we get a palindrome (534484435).

The spelling of 534242000 in words is "five hundred thirty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 34 38 40 50 68 76 80 85 95 100 125 136 152 170 190 200 250 272 304 323 340 380 400 425 475 500 646 680 760 827 850 950 1000 1292 1360 1520 1615 1654 1700 1900 2000 2125 2375 2584 3230 3308 3400 3800 4135 4250 4750 5168 6460 6616 6800 7600 8075 8270 8500 9500 12920 13232 14059 15713 16150 16540 17000 19000 20675 25840 28118 31426 32300 33080 34000 38000 40375 41350 56236 62852 64600 66160 70295 78565 80750 82700 103375 112472 125704 129200 140590 157130 161500 165400 206750 224944 251408 267121 281180 314260 323000 330800 351475 392825 413500 534242 562360 628520 646000 702950 785650 827000 1068484 1124720 1257040 1335605 1405900 1571300 1654000 1757375 1964125 2136968 2671210 2811800 3142600 3514750 3928250 4273936 5342420 5623600 6285200 6678025 7029500 7856500 10684840 13356050 14059000 15713000 21369680 26712100 28118000 31426000 33390125 53424200 66780250 106848400 133560500 267121000 534242000