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55151496 = 2333311821
BaseRepresentation
bin1101001001100…
…0101110001000
310211202222122000
43102120232020
5103104321441
65250031000
71236531351
oct322305610
9124688560
1055151496
112914a154
1216578460
13b57012a
147478d28
154c962b6
hex3498b88

55151496 has 64 divisors (see below), whose sum is σ = 153878400. Its totient is φ = 18302400.

The previous prime is 55151491. The next prime is 55151501. The reversal of 55151496 is 69415155.

55151496 is a `hidden beast` number, since 5 + 51 + 514 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (55151491) and next prime (55151501).

It is a super-2 number, since 2×551514962 = 6083375022076032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55151496.

It is not an unprimeable number, because it can be changed into a prime (55151491) 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 15 ways as a sum of consecutive naturals, for example, 66766 + ... + 67586.

It is an arithmetic number, because the mean of its divisors is an integer number (2404350).

Almost surely, 255151496 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 55151496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76939200).

55151496 is an abundant number, since it is smaller than the sum of its proper divisors (98726904).

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

55151496 is a wasteful number, since it uses less digits than its factorization.

55151496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 55151496 is about 7426.4053215536. The cubic root of 55151496 is about 380.6440969331.

It can be divided in two parts, 5515149 and 6, that added together give a palindrome (5515155).

The spelling of 55151496 in words is "fifty-five million, one hundred fifty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 311 622 821 933 1244 1642 1866 2463 2488 2799 3284 3732 4926 5598 6568 7389 7464 8397 9852 11196 14778 16794 19704 22167 22392 29556 33588 44334 59112 67176 88668 177336 255331 510662 765993 1021324 1531986 2042648 2297979 3063972 4595958 6127944 6893937 9191916 13787874 18383832 27575748 55151496