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53147232 = 2533137449
BaseRepresentation
bin1100101010111…
…1011001100000
310201000011022000
43022233121200
5102101202412
65135044000
71213513125
oct312573140
9121004260
1053147232
1128000336
1215970600
13b01aa88
1470b674c
1549ec4dc
hex32af660

53147232 has 96 divisors (see below), whose sum is σ = 156492000. Its totient is φ = 17547264.

The previous prime is 53147231. The next prime is 53147239. The reversal of 53147232 is 23274135.

53147232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53147196 and 53147205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53147231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118144 + ... + 118592.

It is an arithmetic number, because the mean of its divisors is an integer number (1630125).

Almost surely, 253147232 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 53147232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78246000).

53147232 is an abundant number, since it is smaller than the sum of its proper divisors (103344768).

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

53147232 is a wasteful number, since it uses less digits than its factorization.

53147232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 53147232 is about 7290.2148116499. The cubic root of 53147232 is about 375.9760811705.

The spelling of 53147232 in words is "fifty-three million, one hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 449 548 822 864 898 1096 1233 1347 1644 1796 2192 2466 2694 3288 3592 3699 4041 4384 4932 5388 6576 7184 7398 8082 9864 10776 12123 13152 14368 14796 16164 19728 21552 24246 29592 32328 39456 43104 48492 59184 61513 64656 96984 118368 123026 129312 184539 193968 246052 369078 387936 492104 553617 738156 984208 1107234 1476312 1660851 1968416 2214468 2952624 3321702 4428936 5905248 6643404 8857872 13286808 17715744 26573616 53147232