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53153152 = 2713171879
BaseRepresentation
bin1100101011000…
…0110110000000
310201000110102021
43022300312000
5102101400102
65135131224
71213536313
oct312606600
9121013367
1053153152
1128004828
1215973b14
13b020690
1470b897a
1549ee137
hex32b0d80

53153152 has 64 divisors (see below), whose sum is σ = 120808800. Its totient is φ = 23076864.

The previous prime is 53153141. The next prime is 53153153. The reversal of 53153152 is 25135135.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53153153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27349 + ... + 29227.

Almost surely, 253153152 is an apocalyptic number.

53153152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60404400).

53153152 is an abundant number, since it is smaller than the sum of its proper divisors (67655648).

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

53153152 is a wasteful number, since it uses less digits than its factorization.

53153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1911 counting only the distinct ones).

The product of its digits is 2250, while the sum is 25.

The square root of 53153152 is about 7290.6208240451. The cubic root of 53153152 is about 375.9900404786.

Adding to 53153152 its reverse (25135135), we get a palindrome (78288287).

The spelling of 53153152 in words is "fifty-three million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 1879 2176 3536 3758 7072 7516 14144 15032 24427 28288 30064 31943 48854 60128 63886 97708 120256 127772 195416 240512 255544 390832 415259 511088 781664 830518 1022176 1563328 1661036 2044352 3126656 3322072 4088704 6644144 13288288 26576576 53153152