Search a number
-
+
7920396832 = 2517312272069
BaseRepresentation
bin1110110000001011…
…11010101000100000
3202102222121211212211
413120011322220200
5112210110144312
63345533331504
7400163155645
oct73005725040
922388554784
107920396832
1133a4948407
121650636b94
13992bc155a
14551ca5dcc
153155243a7
hex1d817aa20

7920396832 has 96 divisors (see below), whose sum is σ = 17126484480. Its totient is φ = 3589386240.

The previous prime is 7920396821. The next prime is 7920396853. The reversal of 7920396832 is 2386930297.

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, 3827094 + ... + 3829162.

It is an arithmetic number, because the mean of its divisors is an integer number (178400880).

Almost surely, 27920396832 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 7920396832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563242240).

7920396832 is an abundant number, since it is smaller than the sum of its proper divisors (9206087648).

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

7920396832 is a wasteful number, since it uses less digits than its factorization.

7920396832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 7920396832 is about 88996.6113512194. The cubic root of 7920396832 is about 1993.3442779184.

The spelling of 7920396832 in words is "seven billion, nine hundred twenty million, three hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 227 248 272 454 496 527 544 908 992 1054 1816 2069 2108 3632 3859 4138 4216 7037 7264 7718 8276 8432 14074 15436 16552 16864 28148 30872 33104 35173 56296 61744 64139 66208 70346 112592 119629 123488 128278 140692 225184 239258 256556 281384 469663 478516 513112 562768 939326 957032 1026224 1090363 1125536 1878652 1914064 2052448 2180726 3757304 3828128 4361452 7514608 7984271 8722904 14559553 15029216 15968542 17445808 29119106 31937084 34891616 58238212 63874168 116476424 127748336 232952848 247512401 255496672 465905696 495024802 990049604 1980099208 3960198416 7920396832