Search a number
-
+
2549374464 = 29371322361
BaseRepresentation
bin1001011111110100…
…0101111000000000
320120200002122022110
42113331011320000
520210114440324
61100545535320
7120114216420
oct22775057000
96520078273
102549374464
11109906784a
125b1944540
13318228c00
141a2824480
15edc30329
hex97f45e00

2549374464 has 480 divisors, whose sum is σ = 8914143744. Its totient is φ = 632586240.

The previous prime is 2549374453. The next prime is 2549374469. The reversal of 2549374464 is 4644739452.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549374469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41792994 + ... + 41793054.

Almost surely, 22549374464 is an apocalyptic number.

2549374464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457071872).

2549374464 is an abundant number, since it is smaller than the sum of its proper divisors (6364769280).

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

2549374464 is a wasteful number, since it uses less digits than its factorization.

2549374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The square root of 2549374464 is about 50491.3305825862. The cubic root of 2549374464 is about 1366.0854857692.

The spelling of 2549374464 in words is "two billion, five hundred forty-nine million, three hundred seventy-four thousand, four hundred sixty-four".