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525414330 = 233571032699
BaseRepresentation
bin11111010100010…
…010111110111010
31100121122210222000
4133110102332322
52034001224310
6124045241430
716006643130
oct3724227672
91317583860
10525414330
1124a645621
12127b63276
1384b12a6c
144dacd750
15311d84c0
hex1f512fba

525414330 has 128 divisors (see below), whose sum is σ = 1617408000. Its totient is φ = 118884672.

The previous prime is 525414287. The next prime is 525414343. The reversal of 525414330 is 33414525.

525414330 is a `hidden beast` number, since 52 + 541 + 43 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 525414294 and 525414303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193321 + ... + 196019.

It is an arithmetic number, because the mean of its divisors is an integer number (12636000).

Almost surely, 2525414330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525414330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

525414330 is an abundant number, since it is smaller than the sum of its proper divisors (1091993670).

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

525414330 is a wasteful number, since it uses less digits than its factorization.

525414330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 525414330 is about 22921.9181134564. The cubic root of 525414330 is about 806.9264868567.

Adding to 525414330 its reverse (33414525), we get a palindrome (558828855).

The spelling of 525414330 in words is "five hundred twenty-five million, four hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 103 105 126 135 189 206 210 270 309 315 378 515 618 630 721 927 945 1030 1442 1545 1854 1890 2163 2699 2781 3090 3605 4326 4635 5398 5562 6489 7210 8097 9270 10815 12978 13495 13905 16194 18893 19467 21630 24291 26990 27810 32445 37786 38934 40485 48582 56679 64890 72873 80970 94465 97335 113358 121455 145746 170037 188930 194670 242910 277997 283395 340074 364365 510111 555994 566790 728730 833991 850185 1020222 1389985 1667982 1700370 1945979 2501973 2550555 2779970 3891958 4169955 5003946 5101110 5837937 7505919 8339910 9729895 11675874 12509865 15011838 17513811 19459790 25019730 29189685 35027622 37529595 52541433 58379370 75059190 87569055 105082866 175138110 262707165 525414330