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23055408 = 243383643
BaseRepresentation
bin101011111110…
…0110000110000
31121101100002000
41113330300300
521400233113
62142054000
7366652635
oct127746060
947340060
1023055408
1112017962
12787a300
134a1306c
1430c218c
152056373
hex15fcc30

23055408 has 80 divisors (see below), whose sum is σ = 67079040. Its totient is φ = 7580736.

The previous prime is 23055401. The next prime is 23055433. The reversal of 23055408 is 80455032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23055401) by changing a digit.

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, 35535 + ... + 36177.

It is an arithmetic number, because the mean of its divisors is an integer number (838488).

Almost surely, 223055408 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 23055408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33539520).

23055408 is an abundant number, since it is smaller than the sum of its proper divisors (44023632).

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

23055408 is a wasteful number, since it uses less digits than its factorization.

23055408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23055408 is about 4801.6047317537. The cubic root of 23055408 is about 284.6148814885.

The spelling of 23055408 in words is "twenty-three million, fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 643 664 747 996 1286 1328 1494 1929 1992 2241 2572 2988 3858 3984 4482 5144 5787 5976 7716 8964 10288 11574 11952 15432 17361 17928 23148 30864 34722 35856 46296 53369 69444 92592 106738 138888 160107 213476 277776 320214 426952 480321 640428 853904 960642 1280856 1440963 1921284 2561712 2881926 3842568 5763852 7685136 11527704 23055408