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53988957 = 331117337
BaseRepresentation
bin1100110111110…
…0111001011101
310202120220221000
43031330321131
5102310121312
65205100513
71223620131
oct315747135
9122526830
1053988957
1128525780
12160b7739
13b253c39
1472553c1
154b16adc
hex337ce5d

53988957 has 64 divisors (see below), whose sum is σ = 95212800. Its totient is φ = 29963520.

The previous prime is 53988943. The next prime is 53988959. The reversal of 53988957 is 75988935.

It is not a de Polignac number, because 53988957 - 24 = 53988941 is a prime.

Its product of digits (2721600) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53988959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1459143 + ... + 1459179.

It is an arithmetic number, because the mean of its divisors is an integer number (1487700).

Almost surely, 253988957 is an apocalyptic number.

It is an amenable number.

53988957 is a deficient number, since it is larger than the sum of its proper divisors (41223843).

53988957 is a wasteful number, since it uses less digits than its factorization.

53988957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 68 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 53988957 is about 7347.7178089527. The cubic root of 53988957 is about 377.9505478265.

It can be divided in two parts, 53988 and 957, that added together give a palindrome (54945).

The spelling of 53988957 in words is "fifty-three million, nine hundred eighty-eight thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 17 27 33 37 51 99 111 153 187 289 297 333 407 459 561 629 867 999 1221 1683 1887 2601 3179 3663 4913 5049 5661 6919 7803 9537 10693 10989 14739 16983 20757 28611 32079 44217 54043 62271 85833 96237 117623 132651 162129 181781 186813 288711 352869 486387 545343 1058607 1459161 1636029 1999591 3175821 4908087 5998773 17996319 53988957