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55984824 = 2333761607
BaseRepresentation
bin1101010110010…
…0001010111000
310220100022202000
43111210022320
5103313003244
65315541000
71246602030
oct325441270
9126308660
1055984824
1129669255
12168ba760
13b7a251c
1476148c0
154dad169
hex35642b8

55984824 has 128 divisors (see below), whose sum is σ = 180940800. Its totient is φ = 15707520.

The previous prime is 55984793. The next prime is 55984843. The reversal of 55984824 is 42848955.

It is a self number, because there is not a number n which added to its sum of digits gives 55984824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91929 + ... + 92535.

It is an arithmetic number, because the mean of its divisors is an integer number (1413600).

Almost surely, 255984824 is an apocalyptic number.

55984824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55984824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470400).

55984824 is an abundant number, since it is smaller than the sum of its proper divisors (124955976).

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

55984824 is a wasteful number, since it uses less digits than its factorization.

55984824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 55984824 is about 7482.3007156890. The cubic root of 55984824 is about 382.5516731420.

The spelling of 55984824 in words is "fifty-five million, nine hundred eighty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 607 732 756 854 1098 1214 1281 1464 1512 1647 1708 1821 2196 2428 2562 3294 3416 3642 3843 4249 4392 4856 5124 5463 6588 7284 7686 8498 10248 10926 11529 12747 13176 14568 15372 16389 16996 21852 23058 25494 30744 32778 33992 37027 38241 43704 46116 50988 65556 74054 76482 92232 101976 111081 114723 131112 148108 152964 222162 229446 259189 296216 305928 333243 444324 458892 518378 666486 777567 888648 917784 999729 1036756 1332972 1555134 1999458 2073512 2332701 2665944 3110268 3998916 4665402 6220536 6998103 7997832 9330804 13996206 18661608 27992412 55984824