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629746080 = 25351311971
BaseRepresentation
bin100101100010010…
…010100110100000
31121212222102012220
4211202102212200
52242203333310
6142253351040
721414516255
oct4542224640
91555872186
10629746080
112a3525607
12156a98480
13a0612122
145d8cb42c
153a446670
hex258929a0

629746080 has 48 divisors (see below), whose sum is σ = 1983701664. Its totient is φ = 167932160.

The previous prime is 629746067. The next prime is 629746081. The reversal of 629746080 is 80647926.

629746080 is digitally balanced in base 6, because in such base 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 (48).

It is not an unprimeable number, because it can be changed into a prime (629746081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655506 + ... + 656465.

It is an arithmetic number, because the mean of its divisors is an integer number (41327118).

Almost surely, 2629746080 is an apocalyptic number.

629746080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

629746080 is an abundant number, since it is smaller than the sum of its proper divisors (1353955584).

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

629746080 is a wasteful number, since it uses less digits than its factorization.

629746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311989 (or 1311981 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 629746080 is about 25094.7420787702. The cubic root of 629746080 is about 857.1467003002.

The spelling of 629746080 in words is "six hundred twenty-nine million, seven hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1311971 2623942 3935913 5247884 6559855 7871826 10495768 13119710 15743652 19679565 20991536 26239420 31487304 39359130 41983072 52478840 62974608 78718260 104957680 125949216 157436520 209915360 314873040 629746080