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19850500 = 225329372
BaseRepresentation
bin100101110111…
…0010100000100
31101100111202201
41023232110010
520040204000
61545244244
7330504115
oct113562404
941314681
1019850500
1110228a7a
126793684
134160377
1428ca20c
151b2196a
hex12ee504

19850500 has 72 divisors (see below), whose sum is σ = 46093320. Its totient is φ = 7459200.

The previous prime is 19850483. The next prime is 19850503. The reversal of 19850500 is 505891.

It can be written as a sum of positive squares in 12 ways, for example, as 5089536 + 14760964 = 2256^2 + 3842^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19850503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 536482 + ... + 536518.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 219850500 is an apocalyptic number.

19850500 is a gapful number since it is divisible by the number (10) 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 19850500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046660).

19850500 is an abundant number, since it is smaller than the sum of its proper divisors (26242820).

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

19850500 is a wasteful number, since it uses less digits than its factorization.

19850500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 19850500 is about 4455.3899941531. The cubic root of 19850500 is about 270.7637270168.

The spelling of 19850500 in words is "nineteen million, eight hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 125 145 148 185 250 290 370 500 580 725 740 925 1073 1369 1450 1850 2146 2738 2900 3625 3700 4292 4625 5365 5476 6845 7250 9250 10730 13690 14500 18500 21460 26825 27380 34225 39701 53650 68450 79402 107300 134125 136900 158804 171125 198505 268250 342250 397010 536500 684500 794020 992525 1985050 3970100 4962625 9925250 19850500