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424051000 = 235323103179
BaseRepresentation
bin11001010001101…
…000000100111000
31002112221000121121
4121101220010320
51332024113000
6110024515024
713336242202
oct3121500470
91075830547
10424051000
111a840287a
12ba01ba74
1369b12869
1440465772
1527364b1a
hex19468138

424051000 has 128 divisors (see below), whose sum is σ = 1051315200. Its totient is φ = 159772800.

The previous prime is 424050997. The next prime is 424051013. The reversal of 424051000 is 150424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368911 + ... + 2369089.

It is an arithmetic number, because the mean of its divisors is an integer number (8213400).

Almost surely, 2424051000 is an apocalyptic number.

424051000 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 424051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525657600).

424051000 is an abundant number, since it is smaller than the sum of its proper divisors (627264200).

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

424051000 is a wasteful number, since it uses less digits than its factorization.

424051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 424051000 is about 20592.4986342114. The cubic root of 424051000 is about 751.2872707960.

The spelling of 424051000 in words is "four hundred twenty-four million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 103 115 125 179 184 200 206 230 250 358 412 460 500 515 575 716 824 895 920 1000 1030 1150 1432 1790 2060 2300 2369 2575 2875 3580 4117 4120 4475 4600 4738 5150 5750 7160 8234 8950 9476 10300 11500 11845 12875 16468 17900 18437 18952 20585 20600 22375 23000 23690 25750 32936 35800 36874 41170 44750 47380 51500 59225 73748 82340 89500 92185 94760 102925 103000 118450 147496 164680 179000 184370 205850 236900 296125 368740 411700 424051 460925 473800 514625 592250 737480 823400 848102 921850 1029250 1184500 1696204 1843700 2058500 2120255 2304625 2369000 3392408 3687400 4117000 4240510 4609250 8481020 9218500 10601275 16962040 18437000 21202550 42405100 53006375 84810200 106012750 212025500 424051000