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1981962048 = 263111949391
BaseRepresentation
bin111011000100010…
…0101011101000000
312010010102002210210
41312020211131000
513024340241143
6524400154120
7100054254003
oct16610453500
95103362723
101981962048
11927847470
12473908940
13257800011
1414b32153a
15b8eed033
hex76225740

1981962048 has 112 divisors (see below), whose sum is σ = 6021872640. Its totient is φ = 568972800.

The previous prime is 1981962019. The next prime is 1981962061. The reversal of 1981962048 is 8402691891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1981961988 and 1981962006.

It is a congruent number.

It is an unprimeable number.

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, 15433 + ... + 64823.

It is an arithmetic number, because the mean of its divisors is an integer number (53766720).

Almost surely, 21981962048 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 1981962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010936320).

1981962048 is an abundant number, since it is smaller than the sum of its proper divisors (4039910592).

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

1981962048 is a wasteful number, since it uses less digits than its factorization.

1981962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49436 (or 49426 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 1981962048 is about 44519.2323383951. The cubic root of 1981962048 is about 1256.1218727670.

The spelling of 1981962048 in words is "one billion, nine hundred eighty-one million, nine hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 49391 98782 148173 197564 296346 395128 543301 592692 790256 938429 1086602 1185384 1580512 1629903 1876858 2173204 2370768 2815287 3161024 3259806 3753716 4346408 4741536 5630574 6519612 7507432 8692816 9483072 10322719 11261148 13039224 15014864 17385632 20645438 22522296 26078448 30029728 30968157 34771264 41290876 45044592 52156896 60059456 61936314 82581752 90089184 104313792 123872628 165163504 180178368 247745256 330327008 495490512 660654016 990981024 1981962048