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914788072 = 231124720107
BaseRepresentation
bin110110100001101…
…000111011101000
32100202100001022201
4312201220323220
53333141204242
6230435025544
731445366422
oct6641507350
92322301281
10914788072
1142a412900
1221643b2b4
131176a3723
14896c9812
155549d4b7
hex36868ee8

914788072 has 48 divisors (see below), whose sum is σ = 1925542080. Its totient is φ = 406945440.

The previous prime is 914788027. The next prime is 914788073. The reversal of 914788072 is 270887419.

914788072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (914788073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35443 + ... + 55549.

It is an arithmetic number, because the mean of its divisors is an integer number (40115460).

Almost surely, 2914788072 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 914788072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962771040).

914788072 is an abundant number, since it is smaller than the sum of its proper divisors (1010754008).

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

914788072 is a wasteful number, since it uses less digits than its factorization.

914788072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20182 (or 20167 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 914788072 is about 30245.4636598615. The cubic root of 914788072 is about 970.7487300259.

The spelling of 914788072 in words is "nine hundred fourteen million, seven hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 242 376 484 517 968 1034 2068 4136 5687 11374 20107 22748 40214 45496 80428 160856 221177 442354 884708 945029 1769416 1890058 2432947 3780116 4865894 7560232 9731788 10395319 19463576 20790638 41581276 83162552 114348509 228697018 457394036 914788072