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1982855364 = 2237247157457
BaseRepresentation
bin111011000101111…
…1111100011000100
312010012002111012120
41312023333203010
513030102332424
6524431245540
7100064664300
oct16613774304
95105074176
101982855364
119282a7646
124740798b0
13257a537c9
1414b4b4d00
15b9127a79
hex762ff8c4

1982855364 has 144 divisors (see below), whose sum is σ = 5543661312. Its totient is φ = 549739008.

The previous prime is 1982855327. The next prime is 1982855377. The reversal of 1982855364 is 4635582891.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4338624 + ... + 4339080.

It is an arithmetic number, because the mean of its divisors is an integer number (38497648).

Almost surely, 21982855364 is an apocalyptic number.

1982855364 is a gapful number since it is divisible by the number (14) 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 1982855364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771830656).

1982855364 is an abundant number, since it is smaller than the sum of its proper divisors (3560805948).

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

1982855364 is a wasteful number, since it uses less digits than its factorization.

1982855364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 1982855364 is about 44529.2641304570. The cubic root of 1982855364 is about 1256.3105654521.

The spelling of 1982855364 in words is "one billion, nine hundred eighty-two million, eight hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 157 188 196 282 294 314 329 457 471 564 588 628 658 914 942 987 1099 1316 1371 1828 1884 1974 2198 2303 2742 3199 3297 3948 4396 4606 5484 6398 6594 6909 7379 7693 9212 9597 12796 13188 13818 14758 15386 19194 21479 22137 22393 23079 27636 29516 30772 38388 42958 44274 44786 46158 51653 64437 67179 71749 85916 88548 89572 92316 103306 128874 134358 143498 150353 154959 206612 215247 257748 268716 286996 300706 309918 361571 430494 451059 502243 601412 619836 723142 860988 902118 1004486 1052471 1084713 1446284 1506729 1804236 2008972 2104942 2169426 3013458 3157413 3372203 3515701 4209884 4338852 6026916 6314826 6744406 7031402 10116609 10547103 12629652 13488812 14062804 20233218 21094206 23605421 40466436 42188412 47210842 70816263 94421684 141632526 165237947 283265052 330475894 495713841 660951788 991427682 1982855364