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53576952 = 233111367233
BaseRepresentation
bin1100110001100…
…0010011111000
310201210222202120
43030120103320
5102203430302
65152201240
71220253012
oct314302370
9121728676
1053576952
1128274180
1215b39220
13b13b550
1471891b2
154a849bc
hex33184f8

53576952 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 14699520.

The previous prime is 53576927. The next prime is 53576953. The reversal of 53576952 is 25967535.

It is a super-2 number, since 2×535769522 = 5740979571220608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53576953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229828 + ... + 230060.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 253576952 is an apocalyptic number.

53576952 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 53576952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

53576952 is an abundant number, since it is smaller than the sum of its proper divisors (106816008).

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

53576952 is a wasteful number, since it uses less digits than its factorization.

53576952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 283500, while the sum is 42.

The square root of 53576952 is about 7319.6278593929. The cubic root of 53576952 is about 376.9866759522.

The spelling of 53576952 in words is "fifty-three million, five hundred seventy-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 67 78 88 104 132 134 143 156 201 233 264 268 286 312 402 429 466 536 572 699 737 804 858 871 932 1144 1398 1474 1608 1716 1742 1864 2211 2563 2613 2796 2948 3029 3432 3484 4422 5126 5226 5592 5896 6058 6968 7689 8844 9087 9581 10252 10452 12116 15378 15611 17688 18174 19162 20504 20904 24232 28743 30756 31222 33319 36348 38324 46833 57486 61512 62444 66638 72696 76648 93666 99957 114972 124888 133276 171721 187332 199914 202943 229944 266552 343442 374664 399828 405886 515163 608829 686884 799656 811772 1030326 1217658 1373768 1623544 2060652 2232373 2435316 4121304 4464746 4870632 6697119 8929492 13394238 17858984 26788476 53576952