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53252352 = 283229797
BaseRepresentation
bin1100101100100…
…1000100000000
310201012111111100
43023021010000
5102113033402
65141214400
71214431446
oct313110400
9121174440
1053252352
112807230a
1215a01400
13b05688a
147102b96
154a1d71c
hex32c9100

53252352 has 108 divisors (see below), whose sum is σ = 159033420. Its totient is φ = 17117184.

The previous prime is 53252293. The next prime is 53252369. The reversal of 53252352 is 25325235.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 26378496 = 5184^2 + 5136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66418 + ... + 67214.

Almost surely, 253252352 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 53252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79516710).

53252352 is an abundant number, since it is smaller than the sum of its proper divisors (105781068).

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

53252352 is a wasteful number, since it uses less digits than its factorization.

53252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 831 counting only the distinct ones).

The product of its digits is 9000, while the sum is 27.

The square root of 53252352 is about 7297.4209142683. The cubic root of 53252352 is about 376.2237991637.

Adding to 53252352 its reverse (25325235), we get a palindrome (78577587).

It can be divided in two parts, 53 and 252352, that added together give a triangular number (252405 = T710).

The spelling of 53252352 in words is "fifty-three million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 797 928 1044 1152 1392 1594 1856 2088 2304 2391 2784 3188 3712 4176 4782 5568 6376 7173 7424 8352 9564 11136 12752 14346 16704 19128 22272 23113 25504 28692 33408 38256 46226 51008 57384 66816 69339 76512 92452 102016 114768 138678 153024 184904 204032 208017 229536 277356 306048 369808 416034 459072 554712 612096 739616 832068 918144 1109424 1479232 1664136 1836288 2218848 2958464 3328272 4437696 5916928 6656544 8875392 13313088 17750784 26626176 53252352