Search a number
-
+
19808208 = 2432743457
BaseRepresentation
bin100101110001…
…1111111010000
31101021100202100
41023203333100
520032330313
61544320400
7330236610
oct113437720
941240670
1019808208
11101aa222
126773100
134147044
1428b8a40
151b14173
hex12e3fd0

19808208 has 120 divisors (see below), whose sum is σ = 64970048. Its totient is φ = 5515776.

The previous prime is 19808183. The next prime is 19808227. The reversal of 19808208 is 80280891.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43116 + ... + 43572.

Almost surely, 219808208 is an apocalyptic number.

19808208 is a gapful number since it is divisible by the number (18) 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 19808208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32485024).

19808208 is an abundant number, since it is smaller than the sum of its proper divisors (45161840).

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

19808208 is a wasteful number, since it uses less digits than its factorization.

19808208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 19808208 is about 4450.6413021047. The cubic root of 19808208 is about 270.5713006044.

The spelling of 19808208 in words is "nineteen million, eight hundred eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 457 504 516 602 688 774 903 914 1008 1032 1204 1371 1548 1806 1828 2064 2408 2709 2742 3096 3199 3612 3656 4113 4816 5418 5484 6192 6398 7224 7312 8226 9597 10836 10968 12796 14448 16452 19194 19651 21672 21936 25592 28791 32904 38388 39302 43344 51184 57582 58953 65808 76776 78604 115164 117906 137557 153552 157208 176859 230328 235812 275114 314416 353718 412671 460656 471624 550228 707436 825342 943248 1100456 1238013 1414872 1650684 2200912 2476026 2829744 3301368 4952052 6602736 9904104 19808208