Search a number
-
+
2542508248 = 237373121721
BaseRepresentation
bin1001011110001011…
…1001100011011000
320120012011210122011
42113202321203120
520201340230443
61100142435304
7120001651330
oct22742714330
96505153564
102542508248
1110951a8095
125ab592b34
13316993867
141a19580c0
15ed325b9d
hex978b98d8

2542508248 has 32 divisors (see below), whose sum is σ = 5462883360. Its totient is φ = 1086716160.

The previous prime is 2542508239. The next prime is 2542508261. The reversal of 2542508248 is 8428052452.

2542508248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25425082482 = 12928696382296059008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2542508248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39973 + ... + 81748.

It is an arithmetic number, because the mean of its divisors is an integer number (170715105).

Almost surely, 22542508248 is an apocalyptic number.

2542508248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2542508248 is an abundant number, since it is smaller than the sum of its proper divisors (2920375112).

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

2542508248 is a wasteful number, since it uses less digits than its factorization.

2542508248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122107 (or 122103 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The square root of 2542508248 is about 50423.2907295825. The cubic root of 2542508248 is about 1364.8579596102.

The spelling of 2542508248 in words is "two billion, five hundred forty-two million, five hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 373 746 1492 2611 2984 5222 10444 20888 121721 243442 486884 852047 973768 1704094 3408188 6816376 45401933 90803866 181607732 317813531 363215464 635627062 1271254124 2542508248