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632778740 = 2251110726881
BaseRepresentation
bin100101101101110…
…110111111110100
31122002200111020122
4211231312333310
52243442404430
6142442351112
721452346656
oct4555667764
91562614218
10632778740
112a5207040
12157abb498
13a11345b9
146007a6d6
153a844ee5
hex25b76ff4

632778740 has 48 divisors (see below), whose sum is σ = 1463241024. Its totient is φ = 227942400.

The previous prime is 632778739. The next prime is 632778763. The reversal of 632778740 is 47877236.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 632778691 and 632778700.

It is a congruent number.

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, 10100 + ... + 36980.

It is an arithmetic number, because the mean of its divisors is an integer number (30484188).

Almost surely, 2632778740 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 632778740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731620512).

632778740 is an abundant number, since it is smaller than the sum of its proper divisors (830462284).

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

632778740 is a wasteful number, since it uses less digits than its factorization.

632778740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27008 (or 27006 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The square root of 632778740 is about 25155.0937187680. The cubic root of 632778740 is about 858.5204142646.

The spelling of 632778740 in words is "six hundred thirty-two million, seven hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 11770 23540 26881 53762 107524 134405 268810 295691 537620 591382 1182764 1478455 2876267 2956910 5752534 5913820 11505068 14381335 28762670 31638937 57525340 63277874 126555748 158194685 316389370 632778740