Search a number
-
+
2505625304 = 2371319792293
BaseRepresentation
bin1001010101011000…
…1100111011011000
320110121202221202012
42111112030323120
520112420002204
61052344125052
7116043315020
oct22526147330
96417687665
102505625304
1110763a6416
1259b166788
1330c14ba30
1419aab6a80
15e9e8c76e
hex9558ced8

2505625304 has 128 divisors (see below), whose sum is σ = 6166272000. Its totient is φ = 926774784.

The previous prime is 2505625301. The next prime is 2505625327. The reversal of 2505625304 is 4035265052.

2505625304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505625301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091582 + ... + 1093874.

It is an arithmetic number, because the mean of its divisors is an integer number (48174000).

Almost surely, 22505625304 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 2505625304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083136000).

2505625304 is an abundant number, since it is smaller than the sum of its proper divisors (3660646696).

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

2505625304 is a wasteful number, since it uses less digits than its factorization.

2505625304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 2505625304 is about 50056.2214315064. The cubic root of 2505625304 is about 1358.2260073564.

The spelling of 2505625304 in words is "two billion, five hundred five million, six hundred twenty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 79 91 104 133 152 158 182 247 266 316 364 494 532 553 632 728 988 1027 1064 1106 1501 1729 1976 2054 2212 2293 3002 3458 4108 4424 4586 6004 6916 7189 8216 9172 10507 12008 13832 14378 16051 18344 19513 21014 28756 29809 32102 39026 42028 43567 57512 59618 64204 78052 84056 87134 119236 128408 136591 156104 174268 181147 208663 238472 273182 304969 348536 362294 417326 546364 566371 609938 724588 834652 1092728 1132742 1219876 1268029 1449176 1669304 2265484 2354911 2439752 2536058 3441793 3964597 4530968 4709822 5072116 6883586 7929194 9419644 10144232 13767172 15858388 16484377 18839288 24092551 27534344 31716776 32968754 44743309 48185102 65937508 89486618 96370204 131875016 178973236 192740408 313203163 357946472 626406326 1252812652 2505625304