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53309952 = 293223503
BaseRepresentation
bin1100101101011…
…1001000000000
310201022102111200
43023113020000
5102121404302
65142341200
71215061413
oct313271000
9121272450
1053309952
1128101613
1215a2a800
13b076b67
147119b7a
154a3081c
hex32d7200

53309952 has 120 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 16963584.

The previous prime is 53309951. The next prime is 53309969. The reversal of 53309952 is 25990335.

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

It is not an unprimeable number, because it can be changed into a prime (53309951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105733 + ... + 106235.

Almost surely, 253309952 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 53309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

53309952 is an abundant number, since it is smaller than the sum of its proper divisors (107554752).

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

53309952 is a wasteful number, since it uses less digits than its factorization.

53309952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 53309952 is about 7301.3664474535. The cubic root of 53309952 is about 376.3593968195.

The spelling of 53309952 in words is "fifty-three million, three hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 503 512 552 576 736 768 828 1006 1104 1152 1472 1509 1536 1656 2012 2208 2304 2944 3018 3312 4024 4416 4527 4608 5888 6036 6624 8048 8832 9054 11569 11776 12072 13248 16096 17664 18108 23138 24144 26496 32192 34707 35328 36216 46276 48288 52992 64384 69414 72432 92552 96576 104121 105984 128768 138828 144864 185104 193152 208242 257536 277656 289728 370208 386304 416484 555312 579456 740416 772608 832968 1110624 1158912 1480832 1665936 2221248 2317824 2961664 3331872 4442496 5923328 6663744 8884992 13327488 17769984 26654976 53309952