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55349316 = 2232112359103
BaseRepresentation
bin1101001100100…
…1000001000100
310212011000222200
43103021001010
5103132134231
65254154500
71241314161
oct323110104
9125130880
1055349316
1129274840
1216652a30
13b60c199
1474cb068
154cd4be6
hex34c9044

55349316 has 144 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 15618240.

The previous prime is 55349279. The next prime is 55349323. The reversal of 55349316 is 61394355.

55349316 is a `hidden beast` number, since 553 + 4 + 93 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537321 + ... + 537423.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 255349316 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 55349316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

55349316 is an abundant number, since it is smaller than the sum of its proper divisors (108188604).

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

55349316 is a wasteful number, since it uses less digits than its factorization.

55349316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 55349316 is about 7439.7120912035. The cubic root of 55349316 is about 381.0986579815.

The spelling of 55349316 in words is "fifty-five million, three hundred forty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 59 66 69 92 99 103 118 132 138 177 198 206 207 236 253 276 309 354 396 412 414 506 531 618 649 708 759 828 927 1012 1062 1133 1236 1298 1357 1518 1854 1947 2124 2266 2277 2369 2596 2714 3036 3399 3708 3894 4071 4532 4554 4738 5428 5841 6077 6798 7107 7788 8142 9108 9476 10197 11682 12154 12213 13596 14214 14927 16284 18231 20394 21321 23364 24308 24426 26059 28428 29854 36462 40788 42642 44781 48852 52118 54693 59708 66847 72924 78177 85284 89562 104236 109386 133694 134343 139771 156354 179124 200541 218772 234531 267388 268686 279542 312708 401082 419313 469062 537372 559084 601623 802164 838626 938124 1203246 1257939 1537481 1677252 2406492 2515878 3074962 4612443 5031756 6149924 9224886 13837329 18449772 27674658 55349316