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55805544 = 23332347239
BaseRepresentation
bin1101010011100…
…0011001101000
310220000012211000
43110320121220
5103241234134
65312035000
71245224244
oct324703150
9126005730
1055805544
1129556593
1216832a60
13b73ba42
1475a9424
154d74e99
hex3538668

55805544 has 128 divisors (see below), whose sum is σ = 165888000. Its totient is φ = 17341632.

The previous prime is 55805537. The next prime is 55805557. The reversal of 55805544 is 44550855.

It is a super-2 number, since 2×558055442 = 6228517482271872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55805499 and 55805508.

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, 233377 + ... + 233615.

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

Almost surely, 255805544 is an apocalyptic number.

55805544 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 55805544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944000).

55805544 is an abundant number, since it is smaller than the sum of its proper divisors (110082456).

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

55805544 is a wasteful number, since it uses less digits than its factorization.

55805544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 55805544 is about 7470.3108369063. The cubic root of 55805544 is about 382.1428885334.

The spelling of 55805544 in words is "fifty-five million, eight hundred five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 47 54 69 72 92 94 108 138 141 184 188 207 216 239 276 282 376 414 423 478 552 564 621 717 828 846 956 1081 1128 1242 1269 1434 1656 1692 1912 2151 2162 2484 2538 2868 3243 3384 4302 4324 4968 5076 5497 5736 6453 6486 8604 8648 9729 10152 10994 11233 12906 12972 16491 17208 19458 21988 22466 25812 25944 29187 32982 33699 38916 43976 44932 49473 51624 58374 65964 67398 77832 89864 98946 101097 116748 131928 134796 148419 197892 202194 233496 258359 269592 296838 303291 395784 404388 516718 593676 606582 775077 808776 1033436 1187352 1213164 1550154 2066872 2325231 2426328 3100308 4650462 6200616 6975693 9300924 13951386 18601848 27902772 55805544