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2425007280 = 2435103263373
BaseRepresentation
bin1001000010001010…
…1010110010110000
320021000002010121110
42100202222302300
514431300213110
61040344153320
7114044136033
oct22042526260
96230063543
102425007280
111034942953
12578168840
132c8533267
141900cd01a
15e2d65a20
hex908aacb0

2425007280 has 160 divisors (see below), whose sum is σ = 7639796736. Its totient is φ = 636244992.

The previous prime is 2425007267. The next prime is 2425007327. The reversal of 2425007280 is 827005242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6501174 + ... + 6501546.

Almost surely, 22425007280 is an apocalyptic number.

2425007280 is a gapful number since it is divisible by the number (20) 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 2425007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819898368).

2425007280 is an abundant number, since it is smaller than the sum of its proper divisors (5214789456).

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

2425007280 is a wasteful number, since it uses less digits than its factorization.

2425007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2425007280 is about 49244.3629261259. The cubic root of 2425007280 is about 1343.5000354803.

The spelling of 2425007280 in words is "two billion, four hundred twenty-five million, seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 263 309 373 412 515 526 618 746 789 824 1030 1052 1119 1236 1315 1492 1545 1578 1648 1865 2060 2104 2238 2472 2630 2984 3090 3156 3730 3945 4120 4208 4476 4944 5260 5595 5968 6180 6312 7460 7890 8240 8952 10520 11190 12360 12624 14920 15780 17904 21040 22380 24720 27089 29840 31560 38419 44760 54178 63120 76838 81267 89520 98099 108356 115257 135445 153676 162534 192095 196198 216712 230514 270890 294297 307352 325068 384190 392396 406335 433424 461028 490495 541780 576285 588594 614704 650136 768380 784792 812670 922056 980990 1083560 1152570 1177188 1300272 1471485 1536760 1569584 1625340 1844112 1961980 2167120 2305140 2354376 2942970 3073520 3250680 3923960 4610280 4708752 5885940 6501360 7847920 9220560 10104197 11771880 20208394 23543760 30312591 40416788 50520985 60625182 80833576 101041970 121250364 151562955 161667152 202083940 242500728 303125910 404167880 485001456 606251820 808335760 1212503640 2425007280