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1982385888 = 25377141549
BaseRepresentation
bin111011000101000…
…1100111011100000
312010011012122012120
41312022030323200
513024442322023
6524413224240
7100061000460
oct16612147340
95104178176
101982385888
1192800694a
12473a92080
1325791ac02
1414b3d1ba0
15b90838e3
hex7628cee0

1982385888 has 96 divisors (see below), whose sum is σ = 6031065600. Its totient is φ = 558405120.

The previous prime is 1982385877. The next prime is 1982385901. The reversal of 1982385888 is 8885832891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26938 + ... + 68486.

It is an arithmetic number, because the mean of its divisors is an integer number (62823600).

Almost surely, 21982385888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982385888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015532800).

1982385888 is an abundant number, since it is smaller than the sum of its proper divisors (4048679712).

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

1982385888 is a wasteful number, since it uses less digits than its factorization.

1982385888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41640 (or 41632 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 60.

The square root of 1982385888 is about 44523.9922738292. The cubic root of 1982385888 is about 1256.2114063934.

The spelling of 1982385888 in words is "one billion, nine hundred eighty-two million, three hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 41549 47712 83098 124647 166196 249294 290843 332392 498588 581686 664784 872529 997176 1163372 1329568 1745058 1994352 2326744 2949979 3490116 3988704 4653488 5899958 6980232 8849937 9306976 11799916 13960464 17699874 20649853 23599832 27920928 35399748 41299706 47199664 61949559 70799496 82599412 94399328 123899118 141598992 165198824 247798236 283197984 330397648 495596472 660795296 991192944 1982385888