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53876628 = 223213197383
BaseRepresentation
bin1100110110000…
…1011110010100
310202101012211200
43031201132110
5102243023003
65202432500
71222641501
oct315413624
9122335750
1053876628
1128459343
1216062730
13b214a80
1472264a8
154ae36a3
hex3361794

53876628 has 144 divisors (see below), whose sum is σ = 158383680. Its totient is φ = 15303168.

The previous prime is 53876623. The next prime is 53876651. The reversal of 53876628 is 82667835.

53876628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53876623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649075 + ... + 649157.

Almost surely, 253876628 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 53876628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79191840).

53876628 is an abundant number, since it is smaller than the sum of its proper divisors (104507052).

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

53876628 is a wasteful number, since it uses less digits than its factorization.

53876628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 53876628 is about 7340.0700269139. The cubic root of 53876628 is about 377.6882455135.

The spelling of 53876628 in words is "fifty-three million, eight hundred seventy-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 73 76 78 83 114 117 146 156 166 171 219 228 234 247 249 292 332 342 438 468 494 498 657 684 741 747 876 949 988 996 1079 1314 1387 1482 1494 1577 1898 2158 2223 2628 2774 2847 2964 2988 3154 3237 3796 4161 4316 4446 4731 5548 5694 6059 6308 6474 8322 8541 8892 9462 9711 11388 12118 12483 12948 14193 16644 17082 18031 18177 18924 19422 20501 24236 24966 28386 34164 36062 36354 38844 41002 49932 54093 54531 56772 61503 72124 72708 78767 82004 108186 109062 115121 123006 157534 162279 184509 216372 218124 230242 236301 246012 315068 324558 345363 369018 460484 472602 649116 690726 708903 738036 945204 1036089 1381452 1417806 1496573 2072178 2835612 2993146 4144356 4489719 5986292 8979438 13469157 17958876 26938314 53876628