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53482752 = 2832139167
BaseRepresentation
bin1100110000000…
…1010100000000
310201122012112200
43030001110000
5102142422002
65150153200
71216411251
oct314012400
9121565480
1053482752
112820a424
1215ab2800
13b1076cb
147162b28
154a66b1c
hex3301500

53482752 has 108 divisors (see below), whose sum is σ = 156243360. Its totient is φ = 17593344.

The previous prime is 53482747. The next prime is 53482769. The reversal of 53482752 is 25728435.

It is a super-2 number, since 2×534827522 = 5720809522987008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320173 + ... + 320339.

Almost surely, 253482752 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 53482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).

53482752 is an abundant number, since it is smaller than the sum of its proper divisors (102760608).

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

53482752 is a wasteful number, since it uses less digits than its factorization.

53482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 53482752 is about 7313.1902751125. The cubic root of 53482752 is about 376.7656046606.

It can be divided in two parts, 5348 and 2752, that added together give a square (8100 = 902).

The spelling of 53482752 in words is "fifty-three million, four hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 167 192 256 278 288 334 384 417 501 556 576 668 768 834 1002 1112 1152 1251 1336 1503 1668 2004 2224 2304 2502 2672 3006 3336 4008 4448 5004 5344 6012 6672 8016 8896 10008 10688 12024 13344 16032 17792 20016 21376 23213 24048 26688 32064 35584 40032 42752 46426 48096 53376 64128 69639 80064 92852 96192 106752 128256 139278 160128 185704 192384 208917 278556 320256 371408 384768 417834 557112 742816 835668 1114224 1485632 1671336 2228448 2971264 3342672 4456896 5942528 6685344 8913792 13370688 17827584 26741376 53482752