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55620432 = 243476131
BaseRepresentation
bin1101010000101…
…1001101010000
310212122210220000
43110023031100
5103214323212
65304050000
71243523460
oct324131520
9125583800
1055620432
112943a4aa
1216763900
13b6a56ca
14755bba0
154d3a1dc
hex350b350

55620432 has 100 divisors (see below), whose sum is σ = 184009056. Its totient is φ = 15888960.

The previous prime is 55620431. The next prime is 55620449. The reversal of 55620432 is 23402655.

55620432 is a `hidden beast` number, since 5 + 5 + 620 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55620396 and 55620405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55620431) 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 19 ways as a sum of consecutive naturals, for example, 6007 + ... + 12137.

Almost surely, 255620432 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 55620432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92004528).

55620432 is an abundant number, since it is smaller than the sum of its proper divisors (128388624).

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

55620432 is a wasteful number, since it uses less digits than its factorization.

55620432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55620432 is about 7457.9106993849. The cubic root of 55620432 is about 381.7198863853.

The spelling of 55620432 in words is "fifty-five million, six hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 6131 9072 12262 18393 24524 36786 42917 49048 55179 73572 85834 98096 110358 128751 147144 165537 171668 220716 257502 294288 331074 343336 386253 441432 496611 515004 662148 686672 772506 882864 993222 1030008 1158759 1324296 1545012 1986444 2060016 2317518 2648592 3090024 3476277 3972888 4635036 6180048 6952554 7945776 9270072 13905108 18540144 27810216 55620432