Search a number
-
+
2530265056 = 251171137739
BaseRepresentation
bin1001011011010000…
…1100011111100000
320112100010210010121
42112310030133200
520140221440211
61055024210024
7116462620024
oct22664143740
96470123117
102530265056
1110892a5650
125a7469914
13314297c77
141a008c384
15ec208271
hex96d0c7e0

2530265056 has 96 divisors (see below), whose sum is σ = 5558595840. Its totient is φ = 1124121600.

The previous prime is 2530265053. The next prime is 2530265063. The reversal of 2530265056 is 6505620352.

It is a super-2 number, since 2×25302650562 = 12804482507229366272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530265053) 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, 3423535 + ... + 3424273.

It is an arithmetic number, because the mean of its divisors is an integer number (57902040).

Almost surely, 22530265056 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 2530265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779297920).

2530265056 is an abundant number, since it is smaller than the sum of its proper divisors (3028330784).

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

2530265056 is a wasteful number, since it uses less digits than its factorization.

2530265056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 2530265056 is about 50301.7400891858. The cubic root of 2530265056 is about 1362.6636550719.

The spelling of 2530265056 in words is "two billion, five hundred thirty million, two hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 137 142 176 274 284 352 548 568 739 781 1096 1136 1478 1507 1562 2192 2272 2956 3014 3124 4384 5912 6028 6248 8129 9727 11824 12056 12496 16258 19454 23648 24112 24992 32516 38908 48224 52469 65032 77816 101243 104938 106997 130064 155632 202486 209876 213994 260128 311264 404972 419752 427988 577159 809944 839504 855976 1113673 1154318 1619888 1679008 1711952 2227346 2308636 3239776 3423904 4454692 4617272 7188253 8909384 9234544 14376506 17818768 18469088 28753012 35637536 57506024 79070783 115012048 158141566 230024096 316283132 632566264 1265132528 2530265056