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4202112024 = 2332115305697
BaseRepresentation
bin1111101001110111…
…0010010000011000
3101211212000102000200
43322131302100120
532101220041044
61532545502200
7206063235315
oct37235622030
911755012020
104202112024
111866a89a60
12993341960
1351c768126
142bc125d0c
15198d9a369
hexfa772418

4202112024 has 48 divisors (see below), whose sum is σ = 12415333320. Its totient is φ = 1273367040.

The previous prime is 4202112023. The next prime is 4202112041.

4202112024 is nontrivially palindromic in base 10.

4202112024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4202111988 and 4202112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202112023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2652057 + ... + 2653640.

Almost surely, 24202112024 is an apocalyptic number.

4202112024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4202112024 is an abundant number, since it is smaller than the sum of its proper divisors (8213221296).

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

4202112024 is a wasteful number, since it uses less digits than its factorization.

4202112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305720 (or 5305713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4202112024 is about 64823.6995550239. The cubic root of 4202112024 is about 1613.6990451513.

It can be divided in two parts, 42021 and 12024, that added together give a palindrome (54045).

The spelling of 4202112024 in words is "four billion, two hundred two million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5305697 10611394 15917091 21222788 31834182 42445576 47751273 58362667 63668364 95502546 116725334 127336728 175088001 191005092 233450668 350176002 382010184 466901336 525264003 700352004 1050528006 1400704008 2101056012 4202112024