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19849040 = 245475279
BaseRepresentation
bin100101110110…
…1111101010000
31101100102202122
41023231331100
520040132130
61545233412
7330466631
oct113557520
941312678
1019849040
1110227972
126792868
13415c7c3
1428c9888
151b212e5
hex12edf50

19849040 has 40 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 7769216.

The previous prime is 19849031. The next prime is 19849051. The reversal of 19849040 is 4094891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 219849040 is an apocalyptic number.

19849040 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 19849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

19849040 is an abundant number, since it is smaller than the sum of its proper divisors (27290800).

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

19849040 is a wasteful number, since it uses less digits than its factorization.

19849040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 19849040 is about 4455.2261446530. The cubic root of 19849040 is about 270.7570886495.

The spelling of 19849040 in words is "nineteen million, eight hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 5279 10558 21116 26395 42232 52790 84464 105580 211160 248113 422320 496226 992452 1240565 1984904 2481130 3969808 4962260 9924520 19849040