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525268240 = 24572472851
BaseRepresentation
bin11111010011101…
…111010100010000
31100121101101120021
4133103233110100
52033432040430
6124042153224
716005464200
oct3723572420
91317341507
10525268240
1124a555892
12127ab2814
1384a91413
144da92400
15311aa07a
hex1f4ef510

525268240 has 120 divisors (see below), whose sum is σ = 1451371392. Its totient is φ = 176198400.

The previous prime is 525268231. The next prime is 525268241. The reversal of 525268240 is 42862525.

It is a junction number, because it is equal to n+sod(n) for n = 525268196 and 525268205.

It is not an unprimeable number, because it can be changed into a prime (525268241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182815 + ... + 185665.

Almost surely, 2525268240 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 525268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725685696).

525268240 is an abundant number, since it is smaller than the sum of its proper divisors (926103152).

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

525268240 is a wasteful number, since it uses less digits than its factorization.

525268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 525268240 is about 22918.7312039737. The cubic root of 525268240 is about 806.8516920322.

The spelling of 525268240 in words is "five hundred twenty-five million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 49 56 70 80 94 98 112 140 188 196 235 245 280 329 376 392 470 490 560 658 752 784 940 980 1316 1645 1880 1960 2303 2632 2851 3290 3760 3920 4606 5264 5702 6580 9212 11404 11515 13160 14255 18424 19957 22808 23030 26320 28510 36848 39914 45616 46060 57020 79828 92120 99785 114040 133997 139699 159656 184240 199570 228080 267994 279398 319312 399140 535988 558796 669985 698495 798280 937979 1071976 1117592 1339970 1396990 1596560 1875958 2143952 2235184 2679940 2793980 3751916 4689895 5359880 5587960 6565853 7503832 9379790 10719760 11175920 13131706 15007664 18759580 26263412 32829265 37519160 52526824 65658530 75038320 105053648 131317060 262634120 525268240