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55452672 = 2103211547
BaseRepresentation
bin1101001110001…
…0010000000000
310212100021202200
43103202100000
5103143441142
65300313200
71242224412
oct323422000
9125307680
1055452672
1129335460
12166a2800
13b647242
1475169b2
154d0564c
hex34e2400

55452672 has 132 divisors (see below), whose sum is σ = 174993936. Its totient is φ = 16773120.

The previous prime is 55452667. The next prime is 55452673. The reversal of 55452672 is 27625455.

It is a tau number, because it is divible by the number of its divisors (132).

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 (55452673) 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, 101103 + ... + 101649.

Almost surely, 255452672 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 55452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87496968).

55452672 is an abundant number, since it is smaller than the sum of its proper divisors (119541264).

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

55452672 is a wasteful number, since it uses less digits than its factorization.

55452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 563 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 55452672 is about 7446.6550880244. The cubic root of 55452672 is about 381.3357240900.

The spelling of 55452672 in words is "fifty-five million, four hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 547 576 704 768 792 1024 1056 1094 1152 1408 1536 1584 1641 2112 2188 2304 2816 3072 3168 3282 4224 4376 4608 4923 5632 6017 6336 6564 8448 8752 9216 9846 11264 12034 12672 13128 16896 17504 18051 19692 24068 25344 26256 33792 35008 36102 39384 48136 50688 52512 54153 70016 72204 78768 96272 101376 105024 108306 140032 144408 157536 192544 210048 216612 280064 288816 315072 385088 420096 433224 560128 577632 630144 770176 840192 866448 1155264 1260288 1540352 1680384 1732896 2310528 2520576 3080704 3465792 4621056 5041152 6161408 6931584 9242112 13863168 18484224 27726336 55452672