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53269248 = 283139499
BaseRepresentation
bin1100101100110…
…1001100000000
310201020100200010
43023031030000
5102114103443
65141424520
71214531634
oct313151400
9121210603
1053269248
1128083a7a
1215a0b140
13b061486
147108dc4
154a23733
hex32cd300

53269248 has 72 divisors (see below), whose sum is σ = 143080000. Its totient is φ = 17593344.

The previous prime is 53269247. The next prime is 53269267. The reversal of 53269248 is 84296235.

It is a happy number.

It is a super-2 number, since 2×532692482 = 5675225564971008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53269243) 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, 106503 + ... + 107001.

Almost surely, 253269248 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 53269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540000).

53269248 is an abundant number, since it is smaller than the sum of its proper divisors (89810752).

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

53269248 is a wasteful number, since it uses less digits than its factorization.

53269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 53269248 is about 7298.5784917339. The cubic root of 53269248 is about 376.2635846061.

The spelling of 53269248 in words is "fifty-three million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 499 556 768 834 998 1112 1497 1668 1996 2224 2994 3336 3992 4448 5988 6672 7984 8896 11976 13344 15968 17792 23952 26688 31936 35584 47904 53376 63872 69361 95808 106752 127744 138722 191616 208083 277444 383232 416166 554888 832332 1109776 1664664 2219552 3329328 4439104 6658656 8878208 13317312 17756416 26634624 53269248