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4953062884 = 22721124572
BaseRepresentation
bin1001001110011100…
…11011110111100100
3110210012001122221111
410213032123313210
540120441003014
62135253154404
7233512224400
oct44716336744
913705048844
104953062884
112111969500
12b6292ba04
1360c206653
1434db64100
151dec842c4
hex12739bde4

4953062884 has 81 divisors (see below), whose sum is σ = 11107294569. Its totient is φ = 1925542080.

The previous prime is 4953062843. The next prime is 4953062893. The reversal of 4953062884 is 4882603594.

The square root of 4953062884 is 70378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4283702500 + 669360384 = 65450^2 + 25872^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10837984 + ... + 10838440.

Almost surely, 24953062884 is an apocalyptic number.

4953062884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4953062884 is the 70378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4953062884

4953062884 is an abundant number, since it is smaller than the sum of its proper divisors (6154231685).

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

4953062884 is a wasteful number, since it uses less digits than its factorization.

4953062884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The cubic root of 4953062884 is about 1704.6083595784.

Multiplying 4953062884 by its sum of digits (49), we get a square (242700081316 = 4926462).

4953062884 divided by its sum of digits (49) gives a square (101082916 = 100542).

The spelling of 4953062884 in words is "four billion, nine hundred fifty-three million, sixty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 457 484 539 847 914 1078 1694 1828 2156 3199 3388 5027 5929 6398 10054 11858 12796 20108 22393 23716 35189 44786 55297 70378 89572 110594 140756 208849 221188 246323 387079 417698 492646 774158 835396 985292 1461943 1548316 2297339 2709553 2923886 4594678 5419106 5847772 9189356 10233601 10838212 16081373 20467202 25270729 32162746 40934404 50541458 64325492 101082916 112569611 176895103 225139222 353790206 450278444 707580412 1238265721 2476531442 4953062884