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525545472 = 2123192251
BaseRepresentation
bin11111010100110…
…011000000000000
31100121220110212010
4133110303000000
52034014423342
6124052132520
716011030354
oct3724630000
91317813763
10525545472
1124a725101
12128007140
1384b5a66a
144db25464
153121229c
hex1f533000

525545472 has 104 divisors (see below), whose sum is σ = 1475690560. Its totient is φ = 165888000.

The previous prime is 525545401. The next prime is 525545473. The reversal of 525545472 is 274545525.

It is a self number, because there is not a number n which added to its sum of digits gives 525545472.

It is not an unprimeable number, because it can be changed into a prime (525545473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232347 + ... + 234597.

Almost surely, 2525545472 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 525545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737845280).

525545472 is an abundant number, since it is smaller than the sum of its proper divisors (950145088).

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

525545472 is a wasteful number, since it uses less digits than its factorization.

525545472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2275 counting only the distinct ones).

The product of its digits is 280000, while the sum is 39.

The square root of 525545472 is about 22924.7785594540. The cubic root of 525545472 is about 806.9936168303.

The spelling of 525545472 in words is "five hundred twenty-five million, five hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2251 2432 3072 3648 4096 4502 4864 6144 6753 7296 9004 9728 12288 13506 14592 18008 19456 27012 29184 36016 38912 42769 54024 58368 72032 77824 85538 108048 116736 128307 144064 171076 216096 233472 256614 288128 342152 432192 513228 576256 684304 864384 1026456 1152512 1368608 1728768 2052912 2305024 2737216 3457536 4105824 4610048 5474432 6915072 8211648 9220096 10948864 13830144 16423296 21897728 27660288 32846592 43795456 65693184 87590912 131386368 175181824 262772736 525545472