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524296240 = 245133111621
BaseRepresentation
bin11111010000000…
…010000000110000
31100112120000020021
4133100002000300
52033204434430
6124005253224
715664305316
oct3720020060
91315500207
10524296240
11249a51586
12127704214
1384810b80
144d8bc0b6
153106707a
hex1f402030

524296240 has 80 divisors (see below), whose sum is σ = 1317790656. Its totient is φ = 192844800.

The previous prime is 524296237. The next prime is 524296301. The reversal of 524296240 is 42692425.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×5242962403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 524296196 and 524296205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322630 + ... + 324250.

Almost surely, 2524296240 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 524296240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658895328).

524296240 is an abundant number, since it is smaller than the sum of its proper divisors (793494416).

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

524296240 is a wasteful number, since it uses less digits than its factorization.

524296240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 524296240 is about 22897.5160224859. The cubic root of 524296240 is about 806.3536962553.

The spelling of 524296240 in words is "five hundred twenty-four million, two hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 311 520 622 1040 1244 1555 1621 2488 3110 3242 4043 4976 6220 6484 8086 8105 12440 12968 16172 16210 20215 21073 24880 25936 32344 32420 40430 42146 64688 64840 80860 84292 105365 129680 161720 168584 210730 323440 337168 421460 504131 842920 1008262 1685840 2016524 2520655 4033048 5041310 6553703 8066096 10082620 13107406 20165240 26214812 32768515 40330480 52429624 65537030 104859248 131074060 262148120 524296240