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522473040 = 24325977481
BaseRepresentation
bin11111001001000…
…100111001010000
31100102010101021100
4133021010321100
52032223114130
6123502224400
715642643005
oct3711047120
91312111240
10522473040
11248a16801
12126b85100
138432305b
144d5658ac
1530d06c60
hex1f244e50

522473040 has 120 divisors (see below), whose sum is σ = 1772964648. Its totient is φ = 137871360.

The previous prime is 522473023. The next prime is 522473069. The reversal of 522473040 is 40374225.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 401120784 = 11016^2 + 20028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 522472995 and 522473013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66100 + ... + 73580.

Almost surely, 2522473040 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 522473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886482324).

522473040 is an abundant number, since it is smaller than the sum of its proper divisors (1250491608).

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

522473040 is a wasteful number, since it uses less digits than its factorization.

522473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 522473040 is about 22857.6691725119. The cubic root of 522473040 is about 805.4179330035.

The spelling of 522473040 in words is "five hundred twenty-two million, four hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7481 7760 8730 11640 13968 14962 17460 22443 23280 29924 34920 37405 44886 59848 67329 69840 74810 89772 112215 119696 134658 149620 179544 224430 269316 299240 336645 359088 448860 538632 598480 673290 725657 897720 1077264 1346580 1451314 1795440 2176971 2693160 2902628 3628285 4353942 5386320 5805256 6530913 7256570 8707884 10884855 11610512 13061826 14513140 17415768 21769710 26123652 29026280 32654565 34831536 43539420 52247304 58052560 65309130 87078840 104494608 130618260 174157680 261236520 522473040