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3920263464 = 23313192392767
BaseRepresentation
bin1110100110101010…
…0111100100101000
3101010012200000111010
43221222213210220
531012041412324
61445000503520
7166101455355
oct35152474450
911105600433
103920263464
111731982a67
12914a7aba0
134a6254230
1429291962c
1517e274829
hexe9aa7928

3920263464 has 128 divisors (see below), whose sum is σ = 11160576000. Its totient is φ = 1137556224.

The previous prime is 3920263463. The next prime is 3920263481. The reversal of 3920263464 is 4643620293.

3920263464 is digitally balanced in base 2, because in such base 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 (39).

It is not an unprimeable number, because it can be changed into a prime (3920263463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415409 + ... + 1418175.

It is an arithmetic number, because the mean of its divisors is an integer number (87192000).

Almost surely, 23920263464 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 3920263464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580288000).

3920263464 is an abundant number, since it is smaller than the sum of its proper divisors (7240312536).

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

3920263464 is a wasteful number, since it uses less digits than its factorization.

3920263464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 3920263464 is about 62612.0073468340. The cubic root of 3920263464 is about 1576.7823563263.

The spelling of 3920263464 in words is "three billion, nine hundred twenty million, two hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 239 247 312 456 478 494 717 741 956 988 1434 1482 1912 1976 2767 2868 2964 3107 4541 5534 5736 5928 6214 8301 9082 9321 11068 12428 13623 16602 18164 18642 22136 24856 27246 33204 35971 36328 37284 52573 54492 59033 66408 71942 74568 105146 107913 108984 118066 143884 157719 177099 210292 215826 236132 287768 315438 354198 420584 431652 472264 630876 661313 683449 708396 863304 1261752 1322626 1366898 1416792 1983939 2050347 2645252 2733796 3967878 4100694 5290504 5467592 7935756 8201388 8597069 12564947 15871512 16402776 17194138 25129894 25791207 34388276 37694841 50259788 51582414 68776552 75389682 100519576 103164828 150779364 163344311 206329656 301558728 326688622 490032933 653377244 980065866 1306754488 1960131732 3920263464