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2554047952 = 24435389787
BaseRepresentation
bin1001100000111011…
…1010110111010000
320120222220002010121
42120032322313100
520212314013302
61101234040024
7120202022641
oct23016726720
96528802117
102554047952
1110a076a035
125b3419014
133191a41a1
141a32bd6c8
15ee354e37
hex983badd0

2554047952 has 80 divisors (see below), whose sum is σ = 5223683520. Its totient is φ = 1208503296.

The previous prime is 2554047943. The next prime is 2554047953. The reversal of 2554047952 is 2597404552.

2554047952 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 2×25540479522 = 13046321882230788608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 2554047899 and 2554047908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554047953) 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, 3244903 + ... + 3245689.

It is an arithmetic number, because the mean of its divisors is an integer number (65296044).

Almost surely, 22554047952 is an apocalyptic number.

It is an amenable number.

2554047952 is an abundant number, since it is smaller than the sum of its proper divisors (2669635568).

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

2554047952 is a wasteful number, since it uses less digits than its factorization.

2554047952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 2554047952 is about 50537.5894953449. The cubic root of 2554047952 is about 1366.9197409849.

The spelling of 2554047952 in words is "two billion, five hundred fifty-four million, forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 43 53 86 89 106 172 178 212 344 356 424 688 712 787 848 1424 1574 2279 3148 3827 4558 4717 6296 7654 9116 9434 12592 15308 18232 18868 30616 33841 36464 37736 41711 61232 67682 70043 75472 83422 135364 140086 166844 202831 270728 280172 333688 405662 541456 560344 667376 811324 1120688 1622648 1793573 3011849 3245296 3587146 3712279 6023698 7174292 7424558 12047396 14348584 14849116 24094792 28697168 29698232 48189584 59396464 159627997 319255994 638511988 1277023976 2554047952