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424271600 = 245237109263
BaseRepresentation
bin11001010010011…
…101111011110000
31002120100020012222
4121102131323300
51332103142400
6110033340212
713341151304
oct3122357360
91076306188
10424271600
111a8543595
12ba107668
1369b8c0ac
14404c1d04
15273aa185
hex1949def0

424271600 has 120 divisors (see below), whose sum is σ = 1060482720. Its totient is φ = 162984960.

The previous prime is 424271599. The next prime is 424271623. The reversal of 424271600 is 6172424.

It is a self number, because there is not a number n which added to its sum of digits gives 424271600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613069 + ... + 1613331.

It is an arithmetic number, because the mean of its divisors is an integer number (8837356).

Almost surely, 2424271600 is an apocalyptic number.

424271600 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 424271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530241360).

424271600 is an abundant number, since it is smaller than the sum of its proper divisors (636211120).

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

424271600 is a wasteful number, since it uses less digits than its factorization.

424271600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 424271600 is about 20597.8542571793. The cubic root of 424271600 is about 751.4175265442.

The spelling of 424271600 in words is "four hundred twenty-four million, two hundred seventy-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 109 148 185 200 218 263 296 370 400 436 526 545 592 740 872 925 1052 1090 1315 1480 1744 1850 2104 2180 2630 2725 2960 3700 4033 4208 4360 5260 5450 6575 7400 8066 8720 9731 10520 10900 13150 14800 16132 19462 20165 21040 21800 26300 28667 32264 38924 40330 43600 48655 52600 57334 64528 77848 80660 97310 100825 105200 114668 143335 155696 161320 194620 201650 229336 243275 286670 322640 389240 403300 458672 486550 573340 716675 778480 806600 973100 1060679 1146680 1433350 1613200 1946200 2121358 2293360 2866700 3892400 4242716 5303395 5733400 8485432 10606790 11466800 16970864 21213580 26516975 42427160 53033950 84854320 106067900 212135800 424271600