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4922368 = 210111923
BaseRepresentation
bin10010110001110000000000
3100021002012221
4102301300000
52230003433
6253300424
756560633
oct22616000
910232187
104922368
112862280
121794714
131034659
14921c1a
1567372d
hex4b1c00

4922368 has 88 divisors (see below), whose sum is σ = 11790720. Its totient is φ = 2027520.

The previous prime is 4922353. The next prime is 4922377. The reversal of 4922368 is 8632294.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×49223683 (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 411 + 9 + 215 + 217 + 312 + 6 + 85 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214005 + ... + 214027.

Almost surely, 24922368 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 4922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895360).

4922368 is an abundant number, since it is smaller than the sum of its proper divisors (6868352).

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

4922368 is a wasteful number, since it uses less digits than its factorization.

4922368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 4922368 is about 2218.6410254929. The cubic root of 4922368 is about 170.1079821461.

The spelling of 4922368 in words is "four million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 128 152 176 184 209 253 256 304 352 368 418 437 506 512 608 704 736 836 874 1012 1024 1216 1408 1472 1672 1748 2024 2432 2816 2944 3344 3496 4048 4807 4864 5632 5888 6688 6992 8096 9614 9728 11264 11776 13376 13984 16192 19228 19456 23552 26752 27968 32384 38456 53504 55936 64768 76912 107008 111872 129536 153824 214016 223744 259072 307648 447488 615296 1230592 2461184 4922368