Search a number
-
+
1463793968 = 247132343711
BaseRepresentation
bin101011100111111…
…1011100100110000
310210000101102211102
41113033323210300
510444212401333
6401130103532
751163020620
oct12717734460
93700342742
101463793968
1169130108a
1234a27aba8
131a43565a0
14dc59a880
1588796ae8
hex573fb930

1463793968 has 80 divisors (see below), whose sum is σ = 3642433536. Its totient is φ = 553893120.

The previous prime is 1463793943. The next prime is 1463793971. The reversal of 1463793968 is 8693973641.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 11633 + ... + 55343.

Almost surely, 21463793968 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 1463793968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821216768).

1463793968 is an abundant number, since it is smaller than the sum of its proper divisors (2178639568).

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

1463793968 is a wasteful number, since it uses less digits than its factorization.

1463793968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43762 (or 43756 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 56.

The square root of 1463793968 is about 38259.5604783955. The cubic root of 1463793968 is about 1135.4290053487.

The spelling of 1463793968 in words is "one billion, four hundred sixty-three million, seven hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 8372 16744 33488 43711 87422 174844 305977 349688 568243 611954 699376 1005353 1136486 1223908 2010706 2272972 2447816 3977701 4021412 4545944 4895632 7037471 7955402 8042824 9091888 13069589 14074942 15910804 16085648 26139178 28149884 31821608 52278356 56299768 63643216 91487123 104556712 112599536 182974246 209113424 365948492 731896984 1463793968