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2549713420 = 2253131712973
BaseRepresentation
bin1001011111111001…
…1000101000001100
320120200201212021101
42113332120220030
520210211312140
61101001112444
7120120130552
oct22776305014
96520655241
102549713420
111099279481
125b1a88724
13318317287
141a28b1bd2
15edc9a99a
hex97f98a0c

2549713420 has 48 divisors (see below), whose sum is σ = 5544983808. Its totient is φ = 983796480.

The previous prime is 2549713403. The next prime is 2549713429. The reversal of 2549713420 is 243179452.

2549713420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2549713420.

It is not an unprimeable number, because it can be changed into a prime (2549713429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190054 + ... + 203026.

It is an arithmetic number, because the mean of its divisors is an integer number (115520496).

Almost surely, 22549713420 is an apocalyptic number.

2549713420 is a gapful number since it is divisible by the number (20) 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 2549713420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772491904).

2549713420 is an abundant number, since it is smaller than the sum of its proper divisors (2995270388).

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

2549713420 is a wasteful number, since it uses less digits than its factorization.

2549713420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13330 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2549713420 is about 50494.6870472528. The cubic root of 2549713420 is about 1366.1460264180.

The spelling of 2549713420 in words is "two billion, five hundred forty-nine million, seven hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 317 620 634 1268 1585 3170 6340 9827 12973 19654 25946 39308 49135 51892 64865 98270 129730 196540 259460 402163 804326 1608652 2010815 4021630 4112441 8043260 8224882 16449764 20562205 41124410 82248820 127485671 254971342 509942684 637428355 1274856710 2549713420