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4053302928 = 2432177920959
BaseRepresentation
bin1111000110011000…
…0111111010010000
3101110111000010022200
43301212013322100
531300121143203
61510112203200
7202305335463
oct36146077220
911414003280
104053302928
11179aa90534
12951539500
134c79952cc
142a646b2da
1518aca39a3
hexf1987e90

4053302928 has 120 divisors (see below), whose sum is σ = 12163507200. Its totient is φ = 1255468032.

The previous prime is 4053302923. The next prime is 4053302941. The reversal of 4053302928 is 8292033504.

4053302928 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 super-2 number, since 2×40533029282 = 32858529252266746368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4053302892 and 4053302901.

It is not an unprimeable number, because it can be changed into a prime (4053302921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182913 + ... + 203871.

It is an arithmetic number, because the mean of its divisors is an integer number (101362560).

Almost surely, 24053302928 is an apocalyptic number.

4053302928 is a gapful number since it is divisible by the number (48) 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 4053302928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081753600).

4053302928 is an abundant number, since it is smaller than the sum of its proper divisors (8110204272).

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

4053302928 is a wasteful number, since it uses less digits than its factorization.

4053302928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21069 (or 21060 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4053302928 is about 63665.5552712768. Note that the first 3 decimals coincide. The cubic root of 4053302928 is about 1594.4210551352.

The spelling of 4053302928 in words is "four billion, fifty-three million, three hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 79 102 136 144 153 158 204 237 272 306 316 408 474 612 632 711 816 948 1224 1264 1343 1422 1896 2448 2686 2844 3792 4029 5372 5688 8058 10744 11376 12087 16116 20959 21488 24174 32232 41918 48348 62877 64464 83836 96696 125754 167672 188631 193392 251508 335344 356303 377262 503016 712606 754524 1006032 1068909 1425212 1509048 1655761 2137818 2850424 3018096 3206727 3311522 4275636 4967283 5700848 6413454 6623044 8551272 9934566 12826908 13246088 14901849 17102544 19869132 25653816 26492176 28147937 29803698 39738264 51307632 56295874 59607396 79476528 84443811 112591748 119214792 168887622 225183496 238429584 253331433 337775244 450366992 506662866 675550488 1013325732 1351100976 2026651464 4053302928