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56755755 = 33571929109
BaseRepresentation
bin1101100010000…
…0011000101011
310221210111021000
43120200120223
5104012141010
65344250043
71256262450
oct330403053
9127714230
1056755755
112a045491
1217010923
13b9b23b4
147775827
154eb17c0
hex362062b

56755755 has 128 divisors (see below), whose sum is σ = 126720000. Its totient is φ = 23514624.

The previous prime is 56755753. The next prime is 56755757. The reversal of 56755755 is 55755765.

56755755 is a `hidden beast` number, since 5 + 6 + 75 + 575 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (56755753) and next prime (56755757).

It is not a de Polignac number, because 56755755 - 21 = 56755753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56755755.

It is not an unprimeable number, because it can be changed into a prime (56755753) 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 127 ways as a sum of consecutive naturals, for example, 520641 + ... + 520749.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 256755755 is an apocalyptic number.

56755755 is an abundant number, since it is smaller than the sum of its proper divisors (69964245).

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

56755755 is a wasteful number, since it uses less digits than its factorization.

56755755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 918750, while the sum is 45.

The square root of 56755755 is about 7533.6415497421. The cubic root of 56755755 is about 384.2996318617.

The spelling of 56755755 in words is "fifty-six million, seven hundred fifty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 27 29 35 45 57 63 87 95 105 109 133 135 145 171 189 203 261 285 315 327 399 435 513 545 551 609 665 763 783 855 945 981 1015 1197 1305 1635 1653 1827 1995 2071 2289 2565 2755 2943 3045 3161 3591 3815 3857 3915 4905 4959 5481 5985 6213 6867 8265 9135 9483 10355 11445 11571 14497 14715 14877 15805 17955 18639 19285 20601 22127 24795 27405 28449 31065 34335 34713 43491 47415 55917 57855 60059 66381 72485 74385 85347 93195 103005 104139 110635 130473 142245 173565 180177 199143 217455 279585 300295 331905 391419 420413 426735 520695 540531 597429 652365 900885 995715 1261239 1621593 1957095 2102065 2702655 2987145 3783717 6306195 8107965 11351151 18918585 56755755