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1949863240 = 235134191457
BaseRepresentation
bin111010000111000…
…1000110101001000
312000220000022112001
41310032020311020
512443131110430
6521252200344
766214364323
oct16416106510
95026008461
101949863240
11910713126
124650090b4
13250c71940
14146d677ba
15b62ac3ca
hex74388d48

1949863240 has 64 divisors (see below), whose sum is σ = 4839957360. Its totient is φ = 702382080.

The previous prime is 1949863219. The next prime is 1949863243. The reversal of 1949863240 is 423689491.

It can be written as a sum of positive squares in 8 ways, for example, as 9108324 + 1940754916 = 3018^2 + 44054^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1949863243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24409 + ... + 67048.

Almost surely, 21949863240 is an apocalyptic number.

1949863240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1949863240 is an abundant number, since it is smaller than the sum of its proper divisors (2890094120).

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

1949863240 is a wasteful number, since it uses less digits than its factorization.

1949863240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91522 (or 91518 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 1949863240 is about 44157.2558024160. The cubic root of 1949863240 is about 1249.3037701499.

The spelling of 1949863240 in words is "one billion, nine hundred forty-nine million, eight hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 91457 182914 365828 457285 731656 914570 1188941 1829140 2377882 3658280 3749737 4755764 5944705 7499474 9511528 11889410 14998948 18748685 23778820 29997896 37497370 47557640 48746581 74994740 97493162 149989480 194986324 243732905 389972648 487465810 974931620 1949863240