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53543672 = 2373131979
BaseRepresentation
bin1100110001000…
…0001011111000
310201202022002222
43030100023320
5102201344142
65151343212
71220054000
oct314201370
9121668088
1053543672
1128251176
1215b21b08
13b129360
14717b000
154a79bd2
hex33102f8

53543672 has 128 divisors (see below), whose sum is σ = 134400000. Its totient is φ = 19813248.

The previous prime is 53543671. The next prime is 53543681. The reversal of 53543672 is 27634535.

It is a super-2 number, since 2×535436722 = 5733849622487168, which contains 22 as substring.

Its product of digits (75600) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53543671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677729 + ... + 677807.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000).

Almost surely, 253543672 is an apocalyptic number.

53543672 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 53543672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200000).

53543672 is an abundant number, since it is smaller than the sum of its proper divisors (80856328).

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

53543672 is a wasteful number, since it uses less digits than its factorization.

53543672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its digits is 75600, while the sum is 35.

The square root of 53543672 is about 7317.3541666370. The cubic root of 53543672 is about 376.9086031072.

The spelling of 53543672 in words is "fifty-three million, five hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 79 91 98 104 133 152 158 182 196 247 266 316 343 364 392 494 532 553 632 637 686 728 931 988 1027 1064 1106 1274 1372 1501 1729 1862 1976 2054 2212 2548 2744 3002 3458 3724 3871 4108 4424 4459 5096 6004 6517 6916 7189 7448 7742 8216 8918 10507 12008 12103 13034 13832 14378 15484 17836 19513 21014 24206 26068 27097 28756 30968 35672 39026 42028 48412 50323 52136 54194 57512 73549 78052 84056 84721 96824 100646 108388 136591 147098 156104 169442 201292 216776 273182 294196 338884 352261 402584 514843 546364 588392 677768 704522 956137 1029686 1092728 1409044 1912274 2059372 2818088 3824548 4118744 6692959 7649096 13385918 26771836 53543672