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55288872 = 23332331359
BaseRepresentation
bin1101001011101…
…0010000101000
310212000222002000
43102322100220
5103123220442
65253011000
71240643022
oct322722050
9125028060
1055288872
1129233391
1216623a60
13b5ba812
1474b3012
154cc1d4c
hex34ba428

55288872 has 128 divisors (see below), whose sum is σ = 165888000. Its totient is φ = 17012160.

The previous prime is 55288867. The next prime is 55288949. The reversal of 55288872 is 27888255.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 153829 + ... + 154187.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 255288872 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 55288872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944000).

55288872 is an abundant number, since it is smaller than the sum of its proper divisors (110599128).

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

55288872 is a wasteful number, since it uses less digits than its factorization.

55288872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 55288872 is about 7435.6487275826. The cubic root of 55288872 is about 380.9598816956.

It can be divided in two parts, 5528 and 8872, that added together give a square (14400 = 1202).

The spelling of 55288872 in words is "fifty-five million, two hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 92 93 108 124 138 184 186 207 216 248 276 279 359 372 414 552 558 621 713 718 744 828 837 1077 1116 1242 1426 1436 1656 1674 2139 2154 2232 2484 2852 2872 3231 3348 4278 4308 4968 5704 6417 6462 6696 8257 8556 8616 9693 11129 12834 12924 16514 17112 19251 19386 22258 24771 25668 25848 33028 33387 38502 38772 44516 49542 51336 66056 66774 74313 77004 77544 89032 99084 100161 133548 148626 154008 198168 200322 222939 255967 267096 297252 300483 400644 445878 511934 594504 600966 767901 801288 891756 1023868 1201932 1535802 1783512 2047736 2303703 2403864 3071604 4607406 6143208 6911109 9214812 13822218 18429624 27644436 55288872