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4267795296 = 2533111231277
BaseRepresentation
bin1111111001100001…
…0110001101100000
3102000102121110112110
43332120112031200
532220023422141
61543253355320
7210521442612
oct37630261540
912012543473
104267795296
1118a0071856
129b1338b40
13530254b7b
142c6b42db2
1519ea21e16
hexfe616360

4267795296 has 96 divisors (see below), whose sum is σ = 11583710208. Its totient is φ = 1374405120.

The previous prime is 4267795289. The next prime is 4267795321. The reversal of 4267795296 is 6925977624.

4267795296 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 tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3341410 + ... + 3342686.

It is an arithmetic number, because the mean of its divisors is an integer number (120663648).

Almost surely, 24267795296 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 4267795296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791855104).

4267795296 is an abundant number, since it is smaller than the sum of its proper divisors (7315914912).

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

4267795296 is a wasteful number, since it uses less digits than its factorization.

4267795296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2436 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The square root of 4267795296 is about 65328.3651716465. The cubic root of 4267795296 is about 1622.0635310362.

The spelling of 4267795296 in words is "four billion, two hundred sixty-seven million, seven hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1123 1277 1488 2246 2554 2976 3369 3831 4492 5108 6738 7662 8984 10216 13476 15324 17968 20432 26952 30648 34813 35936 39587 40864 53904 61296 69626 79174 104439 107808 118761 122592 139252 158348 208878 237522 278504 316696 417756 475044 557008 633392 835512 950088 1114016 1266784 1434071 1671024 1900176 2868142 3342048 3800352 4302213 5736284 8604426 11472568 17208852 22945136 34417704 44456201 45890272 68835408 88912402 133368603 137670816 177824804 266737206 355649608 533474412 711299216 1066948824 1422598432 2133897648 4267795296