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1949392640 = 28513193607
BaseRepresentation
bin111010000110001…
…0101111100000000
312000212010101222102
41310030111330000
512443021031030
6521234125532
766210364316
oct16414257400
95025111872
101949392640
119104215a8
12464a208a8
13250b38690
14146c840b6
15b6217c45
hex74315f00

1949392640 has 144 divisors (see below), whose sum is σ = 5062971648. Its totient is φ = 714866688.

The previous prime is 1949392603. The next prime is 1949392649. The reversal of 1949392640 is 462939491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949392649) 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, 3211217 + ... + 3211823.

Almost surely, 21949392640 is an apocalyptic number.

1949392640 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 1949392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531485824).

1949392640 is an abundant number, since it is smaller than the sum of its proper divisors (3113579008).

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

1949392640 is a wasteful number, since it uses less digits than its factorization.

1949392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 1949392640 is about 44151.9267982723. The cubic root of 1949392640 is about 1249.2032554664.

The spelling of 1949392640 in words is "one billion, nine hundred forty-nine million, three hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 193 208 256 260 320 386 416 520 607 640 772 832 965 1040 1214 1280 1544 1664 1930 2080 2428 2509 3035 3088 3328 3860 4160 4856 5018 6070 6176 7720 7891 8320 9712 10036 12140 12352 12545 15440 15782 16640 19424 20072 24280 24704 25090 30880 31564 38848 39455 40144 48560 49408 50180 61760 63128 77696 78910 80288 97120 100360 117151 123520 126256 155392 157820 160576 194240 200720 234302 247040 252512 315640 321152 388480 401440 468604 505024 585755 631280 642304 776960 802880 937208 1010048 1171510 1262560 1522963 1605760 1874416 2020096 2343020 2525120 3045926 3211520 3748832 4686040 5050240 6091852 7497664 7614815 9372080 10100480 12183704 14995328 15229630 18744160 24367408 29990656 30459260 37488320 48734816 60918520 74976640 97469632 121837040 149953280 194939264 243674080 389878528 487348160 974696320 1949392640