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4220053904 = 241141896571
BaseRepresentation
bin1111101110001000…
…1110100110010000
3101220002202221122202
43323202032212100
532120313211104
61534430222332
7206401603103
oct37342164620
911802687582
104220053904
111876123a60
129993549a8
135233aa821
142c067673a
1519a74151e
hexfb88e990

4220053904 has 80 divisors (see below), whose sum is σ = 9241283520. Its totient is φ = 1850112000.

The previous prime is 4220053897. The next prime is 4220053913. The reversal of 4220053904 is 4093500224.

4220053904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 638939 + ... + 645509.

It is an arithmetic number, because the mean of its divisors is an integer number (115516044).

Almost surely, 24220053904 is an apocalyptic number.

4220053904 is a gapful number since it is divisible by the number (44) 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 4220053904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620641760).

4220053904 is an abundant number, since it is smaller than the sum of its proper divisors (5021229616).

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

4220053904 is a wasteful number, since it uses less digits than its factorization.

4220053904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 4220053904 is about 64961.9419660466. The cubic root of 4220053904 is about 1615.9924700659.

The spelling of 4220053904 in words is "four billion, two hundred twenty million, fifty-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 89 164 176 178 328 356 451 656 712 902 979 1424 1804 1958 3608 3649 3916 6571 7216 7298 7832 13142 14596 15664 26284 29192 40139 52568 58384 72281 80278 105136 144562 160556 269411 289124 321112 538822 578248 584819 642224 1077644 1156496 1169638 2155288 2339276 2963521 4310576 4678552 5927042 6433009 9357104 11854084 12866018 23708168 23977579 25732036 47416336 47955158 51464072 95910316 102928144 191820632 263753369 383641264 527506738 1055013476 2110026952 4220053904