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55241676 = 2235723353
BaseRepresentation
bin1101001010111…
…0101111001100
310211221120100000
43102232233030
5103120213201
65252004300
71240355310
oct322565714
9124846300
1055241676
1129200986
1216600690
13b5a21a9
14749db40
154cb2d86
hex34aebcc

55241676 has 144 divisors (see below), whose sum is σ = 173182464. Its totient is φ = 15054336.

The previous prime is 55241671. The next prime is 55241717. The reversal of 55241676 is 67614255.

It is a happy number.

55241676 is a `hidden beast` number, since 552 + 41 + 67 + 6 = 666.

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 55241676.

It is not an unprimeable number, because it can be changed into a prime (55241671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156316 + ... + 156668.

It is an arithmetic number, because the mean of its divisors is an integer number (1202656).

Almost surely, 255241676 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 55241676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86591232).

55241676 is an abundant number, since it is smaller than the sum of its proper divisors (117940788).

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

55241676 is a wasteful number, since it uses less digits than its factorization.

55241676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 55241676 is about 7432.4744197340. The cubic root of 55241676 is about 380.8514517930.

The spelling of 55241676 in words is "fifty-five million, two hundred forty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 243 252 276 322 324 353 378 414 483 486 567 621 644 706 756 828 966 972 1059 1134 1242 1412 1449 1701 1863 1932 2118 2268 2471 2484 2898 3177 3402 3726 4236 4347 4942 5589 5796 6354 6804 7413 7452 8119 8694 9531 9884 11178 12708 13041 14826 16238 17388 19062 22239 22356 24357 26082 28593 29652 32476 38124 39123 44478 48714 52164 56833 57186 66717 73071 78246 85779 88956 97428 113666 114372 133434 146142 156492 170499 171558 200151 219213 227332 266868 292284 340998 343116 400302 438426 511497 600453 657639 681996 800604 876852 1022994 1200906 1315278 1534491 1972917 2045988 2401812 2630556 3068982 3945834 4603473 6137964 7891668 9206946 13810419 18413892 27620838 55241676