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55753728 = 210318149
BaseRepresentation
bin1101010010101…
…1110000000000
310212220120201220
43110223300000
5103233104403
65310555040
71244620212
oct324536000
9125816656
1055753728
1129520668
1216808a80
13b721294
1475945b2
154d64953
hex352bc00

55753728 has 44 divisors (see below), whose sum is σ = 148612200. Its totient is φ = 18583552.

The previous prime is 55753723. The next prime is 55753739. The reversal of 55753728 is 82735755.

It is a self number, because there is not a number n which added to its sum of digits gives 55753728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55753723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6003 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (3377550).

Almost surely, 255753728 is an apocalyptic number.

It is an amenable number.

55753728 is an abundant number, since it is smaller than the sum of its proper divisors (92858472).

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

55753728 is a wasteful number, since it uses less digits than its factorization.

55753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18172 (or 18154 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 55753728 is about 7466.8419027056. The cubic root of 55753728 is about 382.0245774233.

It can be divided in two parts, 557 and 53728, that added together give a triangular number (54285 = T329).

The spelling of 55753728 in words is "fifty-five million, seven hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 18149 36298 54447 72596 108894 145192 217788 290384 435576 580768 871152 1161536 1742304 2323072 3484608 4646144 6969216 9292288 13938432 18584576 27876864 55753728