Search a number
-
+
2425046464 = 26177131393
BaseRepresentation
bin1001000010001011…
…0100010111000000
320021000011010100201
42100202310113000
514431302441324
61040345054544
7114044361211
oct22042642700
96230133321
102425046464
11103496a335
12578187454
132c8548049
141900dd408
15e2d72444
hex908b45c0

2425046464 has 56 divisors (see below), whose sum is σ = 5167201248. Its totient is φ = 1125089280.

The previous prime is 2425046443. The next prime is 2425046479. The reversal of 2425046464 is 4646405242.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 61552 + ... + 92944.

Almost surely, 22425046464 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 2425046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583600624).

2425046464 is an abundant number, since it is smaller than the sum of its proper divisors (2742154784).

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

2425046464 is a wasteful number, since it uses less digits than its factorization.

2425046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31493 (or 31483 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The square root of 2425046464 is about 49244.7607771629. The cubic root of 2425046464 is about 1343.5072716678.

The spelling of 2425046464 in words is "two billion, four hundred twenty-five million, forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 136 142 272 284 544 568 1088 1136 1207 2272 2414 4544 4828 9656 19312 31393 38624 62786 77248 125572 251144 502288 533681 1004576 1067362 2009152 2134724 2228903 4269448 4457806 8538896 8915612 17077792 17831224 34155584 35662448 37891351 71324896 75782702 142649792 151565404 303130808 606261616 1212523232 2425046464