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4214340552 = 233293724423
BaseRepresentation
bin1111101100110001…
…1011101111001000
3101212201000200102010
43323030123233020
532112332344202
61534103535520
7206302206102
oct37314335710
911781020363
104214340552
111872981484
1299745a5a0
1352215a146
142bd9ca572
15199eb376c
hexfb31bbc8

4214340552 has 96 divisors (see below), whose sum is σ = 11204222400. Its totient is φ = 1319383296.

The previous prime is 4214340547. The next prime is 4214340563. The reversal of 4214340552 is 2550434124.

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 23 ways as a sum of consecutive naturals, for example, 950613 + ... + 955035.

It is an arithmetic number, because the mean of its divisors is an integer number (116710650).

Almost surely, 24214340552 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 4214340552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602111200).

4214340552 is an abundant number, since it is smaller than the sum of its proper divisors (6989881848).

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

4214340552 is a wasteful number, since it uses less digits than its factorization.

4214340552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4214340552 is about 64917.9524630899. The cubic root of 4214340552 is about 1615.2628661509.

Adding to 4214340552 its reverse (2550434124), we get a palindrome (6764774676).

The spelling of 4214340552 in words is "four billion, two hundred fourteen million, three hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 1369 2146 2738 3219 4107 4292 4423 5476 6438 8214 8584 8846 10952 12876 13269 16428 17692 25752 26538 32856 35384 39701 53076 79402 106152 119103 128267 158804 163651 238206 256534 317608 327302 384801 476412 490953 513068 654604 769602 952824 981906 1026136 1309208 1539204 1963812 3078408 3927624 4745879 6055087 9491758 12110174 14237637 18165261 18983516 24220348 28475274 36330522 37967032 48440696 56950548 72661044 113901096 145322088 175597523 351195046 526792569 702390092 1053585138 1404780184 2107170276 4214340552