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1949538140 = 225113726473
BaseRepresentation
bin111010000110011…
…1001011101011100
312000212101210120022
41310030321131130
512443040210030
6521241211312
766211541444
oct16414713534
95025353508
101949538140
11910510950
12464a90b38
13250b89984
14146cc1124
15b6245de5
hex7433975c

1949538140 has 72 divisors (see below), whose sum is σ = 4590894672. Its totient is φ = 689656320.

The previous prime is 1949538119. The next prime is 1949538169. The reversal of 1949538140 is 418359491.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1949538091 and 1949538100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297944 + ... + 304416.

It is an arithmetic number, because the mean of its divisors is an integer number (63762426).

Almost surely, 21949538140 is an apocalyptic number.

1949538140 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 1949538140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295447336).

1949538140 is an abundant number, since it is smaller than the sum of its proper divisors (2641356532).

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

1949538140 is a wasteful number, since it uses less digits than its factorization.

1949538140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 1949538140 is about 44153.5744872372. The cubic root of 1949538140 is about 1249.2343343006.

The spelling of 1949538140 in words is "one billion, nine hundred forty-nine million, five hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1369 1628 2035 2738 4070 5476 6473 6845 8140 12946 13690 15059 25892 27380 30118 32365 60236 64730 71203 75295 129460 142406 150590 239501 284812 301180 356015 479002 712030 958004 1197505 1424060 2395010 2634511 4790020 5269022 8861537 10538044 13172555 17723074 26345110 35446148 44307685 52690220 88615370 97476907 177230740 194953814 389907628 487384535 974769070 1949538140