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404426000 = 24531131593
BaseRepresentation
bin11000000110110…
…000110100010000
31001011222222011202
4120012300310100
51312013113000
6104044130332
713010364356
oct3006606420
91034888152
10404426000
11198319270
12b35369a8
1365a31034
143b9d77d6
1525789dd5
hex181b0d10

404426000 has 160 divisors (see below), whose sum is σ = 1103072256. Its totient is φ = 142080000.

The previous prime is 404425981. The next prime is 404426047. The reversal of 404426000 is 624404.

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

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, 681704 + ... + 682296.

Almost surely, 2404426000 is an apocalyptic number.

404426000 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 404426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551536128).

404426000 is an abundant number, since it is smaller than the sum of its proper divisors (698646256).

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

404426000 is a wasteful number, since it uses less digits than its factorization.

404426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 404426000 is about 20110.3455962348. The cubic root of 404426000 is about 739.5139247610.

The spelling of 404426000 in words is "four hundred four million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 593 620 682 775 880 1000 1100 1186 1240 1364 1375 1550 1705 2000 2200 2372 2480 2728 2750 2965 3100 3410 3875 4400 4744 5456 5500 5930 6200 6523 6820 7750 8525 9488 11000 11860 12400 13046 13640 14825 15500 17050 18383 22000 23720 26092 27280 29650 31000 32615 34100 36766 42625 47440 52184 59300 62000 65230 68200 73532 74125 85250 91915 104368 118600 130460 136400 147064 148250 163075 170500 183830 202213 237200 260920 294128 296500 326150 341000 367660 404426 459575 521840 593000 652300 682000 735320 808852 815375 919150 1011065 1186000 1304600 1470640 1617704 1630750 1838300 2022130 2297875 2609200 3235408 3261500 3676600 4044260 4595750 5055325 6523000 7353200 8088520 9191500 10110650 13046000 16177040 18383000 20221300 25276625 36766000 40442600 50553250 80885200 101106500 202213000 404426000