Search a number
-
+
628601740 = 2251312719037
BaseRepresentation
bin100101011101111…
…011001110001100
31121210211021110221
4211131323032030
52241410223430
6142213041124
721402012064
oct4535731614
91553737427
10628601740
112a2913878
121566261a4
13a03012c0
145d6b03a4
153a2bc57a
hex2577b38c

628601740 has 48 divisors (see below), whose sum is σ = 1432876032. Its totient is φ = 230259456.

The previous prime is 628601737. The next prime is 628601773. The reversal of 628601740 is 47106826.

It is a junction number, because it is equal to n+sod(n) for n = 628601696 and 628601705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23502 + ... + 42538.

It is an arithmetic number, because the mean of its divisors is an integer number (29851584).

Almost surely, 2628601740 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 628601740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716438016).

628601740 is an abundant number, since it is smaller than the sum of its proper divisors (804274292).

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

628601740 is a wasteful number, since it uses less digits than its factorization.

628601740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19186 (or 19184 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 628601740 is about 25071.9313177106. The cubic root of 628601740 is about 856.6271988627.

The spelling of 628601740 in words is "six hundred twenty-eight million, six hundred one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 8255 16510 19037 33020 38074 76148 95185 190370 247481 380740 494962 989924 1237405 2417699 2474810 4835398 4949620 9670796 12088495 24176990 31430087 48353980 62860174 125720348 157150435 314300870 628601740