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4202411424 = 253172151471
BaseRepresentation
bin1111101001111011…
…1011010110100000
3101211212120121201120
43322132323112200
532101304131144
61533000132240
7206065623231
oct37236732640
911755517646
104202411424
1118671739a2
12993467080
1351c8414a3
142bc1a3088
15198e08e19
hexfa7bb5a0

4202411424 has 72 divisors (see below), whose sum is σ = 11718479808. Its totient is φ = 1318394880.

The previous prime is 4202411401. The next prime is 4202411497. The reversal of 4202411424 is 4241142024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4202411394 and 4202411403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47992 + ... + 103479.

It is an arithmetic number, because the mean of its divisors is an integer number (162756664).

Almost surely, 24202411424 is an apocalyptic number.

It is an amenable number.

4202411424 is an abundant number, since it is smaller than the sum of its proper divisors (7516068384).

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

4202411424 is a wasteful number, since it uses less digits than its factorization.

4202411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151518 (or 151493 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4202411424 is about 64826.0088544714. The cubic root of 4202411424 is about 1613.7373695318.

Adding to 4202411424 its reverse (4241142024), we get a palindrome (8443553448).

The spelling of 4202411424 in words is "four billion, two hundred two million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 9248 13872 27744 151471 302942 454413 605884 908826 1211768 1817652 2423536 2575007 3635304 4847072 5150014 7270608 7725021 10300028 14541216 15450042 20600056 30900084 41200112 43775119 61800168 82400224 87550238 123600336 131325357 175100476 247200672 262650714 350200952 525301428 700401904 1050602856 1400803808 2101205712 4202411424