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55445832 = 233213371601
BaseRepresentation
bin1101001110000…
…0100101001000
310212022221101100
43103200211020
5103143231312
65300221400
71242165441
oct323404510
9125287340
1055445832
1129330302
121669a860
13b6440b0
1475142c8
154d035dc
hex34e0948

55445832 has 96 divisors (see below), whose sum is σ = 166191480. Its totient is φ = 16588800.

The previous prime is 55445821. The next prime is 55445833. The reversal of 55445832 is 23854455.

It can be written as a sum of positive squares in 4 ways, for example, as 55442916 + 2916 = 7446^2 + 54^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55445833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33832 + ... + 35432.

Almost surely, 255445832 is an apocalyptic number.

55445832 is a gapful number since it is divisible by the number (52) 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 55445832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83095740).

55445832 is an abundant number, since it is smaller than the sum of its proper divisors (110745648).

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

55445832 is a wasteful number, since it uses less digits than its factorization.

55445832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 55445832 is about 7446.1958072562. The cubic root of 55445832 is about 381.3200443910.

The spelling of 55445832 in words is "fifty-five million, four hundred forty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1601 1924 2664 2886 3202 3848 4329 4803 5772 6404 8658 9606 11544 12808 14409 17316 19212 20813 28818 34632 38424 41626 57636 59237 62439 83252 115272 118474 124878 166504 177711 187317 236948 249756 355422 374634 473896 499512 533133 710844 749268 770081 1066266 1421688 1498536 1540162 2132532 2310243 3080324 4265064 4620486 6160648 6930729 9240972 13861458 18481944 27722916 55445832