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2570424948 = 2233721337363
BaseRepresentation
bin1001100100110101…
…1001001001110100
320122010201010011000
42121031121021310
520231012044243
61103021043300
7120461152200
oct23115311164
96563633130
102570424948
1110a9a35343
125b89b6530
1331c6b9510
141a5543b00
151009dc5d3
hex99359274

2570424948 has 144 divisors (see below), whose sum is σ = 8348612160. Its totient is φ = 677896128.

The previous prime is 2570424911. The next prime is 2570424949. The reversal of 2570424948 is 8494240752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2570424949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50115 + ... + 87477.

Almost surely, 22570424948 is an apocalyptic number.

2570424948 is a gapful number since it is divisible by the number (28) 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 2570424948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174306080).

2570424948 is an abundant number, since it is smaller than the sum of its proper divisors (5778187212).

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

2570424948 is a wasteful number, since it uses less digits than its factorization.

2570424948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37403 (or 37388 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2570424948 is about 50699.3584574795. The cubic root of 2570424948 is about 1369.8351601625.

The spelling of 2570424948 in words is "two billion, five hundred seventy million, four hundred twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 37363 68796 74726 112089 149452 224178 261541 336267 448356 485719 523082 672534 784623 971438 1008801 1046164 1345068 1457157 1569246 1830787 1942876 2017602 2353869 2914314 3138492 3400033 3661574 4035204 4371471 4707738 5492361 5828628 6800066 7061607 7323148 8742942 9415476 10200099 10984722 13114413 13600132 14123214 16477083 17485884 20400198 21969444 23800231 26228826 28246428 30600297 32954166 40800396 47600462 49431249 52457652 61200594 65908332 71400693 91800891 95200924 98862498 122401188 142801386 183601782 197724996 214202079 285602772 367203564 428404158 642606237 856808316 1285212474 2570424948