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561426000 = 24353137683
BaseRepresentation
bin100001011101101…
…010111001010000
31110010102101200120
4201131222321100
52122211113000
6131413150240
716625020332
oct4135527120
91403371616
10561426000
11268a01733
1213802b380
138c411145
14547c5452
153444d6a0
hex2176ae50

561426000 has 160 divisors (see below), whose sum is σ = 1825918848. Its totient is φ = 148403200.

The previous prime is 561425989. The next prime is 561426011. The reversal of 561426000 is 624165.

It is an interprime number because it is at equal distance from previous prime (561425989) and next prime (561426011).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 821659 + ... + 822341.

Almost surely, 2561426000 is an apocalyptic number.

561426000 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 561426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912959424).

561426000 is an abundant number, since it is smaller than the sum of its proper divisors (1264492848).

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

561426000 is a wasteful number, since it uses less digits than its factorization.

561426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 561426000 is about 23694.4297251485. The cubic root of 561426000 is about 824.9561041842.

The spelling of 561426000 in words is "five hundred sixty-one million, four hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 137 150 200 240 250 274 300 375 400 411 500 548 600 683 685 750 822 1000 1096 1200 1366 1370 1500 1644 2000 2049 2055 2192 2732 2740 3000 3288 3415 3425 4098 4110 5464 5480 6000 6576 6830 6850 8196 8220 10245 10275 10928 10960 13660 13700 16392 16440 17075 17125 20490 20550 27320 27400 32784 32880 34150 34250 40980 41100 51225 51375 54640 54800 68300 68500 81960 82200 85375 93571 102450 102750 136600 137000 163920 164400 170750 187142 204900 205500 256125 273200 274000 280713 341500 374284 409800 411000 467855 512250 561426 683000 748568 819600 822000 935710 1024500 1122852 1366000 1403565 1497136 1871420 2049000 2245704 2339275 2807130 3742840 4098000 4491408 4678550 5614260 7017825 7485680 9357100 11228520 11696375 14035650 18714200 22457040 23392750 28071300 35089125 37428400 46785500 56142600 70178250 93571000 112285200 140356500 187142000 280713000 561426000