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55821472 = 25717107137
BaseRepresentation
bin1101010011110…
…0010010100000
310220001000122221
43110330102200
5103242241342
65312240424
71245321550
oct324742240
9126030587
1055821472
1129567553
1216840114
13b746075
1475b1160
154d79a67
hex353c4a0

55821472 has 96 divisors (see below), whose sum is σ = 135209088. Its totient is φ = 22142976.

The previous prime is 55821461. The next prime is 55821473. The reversal of 55821472 is 27412855.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (55821473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 407388 + ... + 407524.

It is an arithmetic number, because the mean of its divisors is an integer number (1408428).

Almost surely, 255821472 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 55821472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67604544).

55821472 is an abundant number, since it is smaller than the sum of its proper divisors (79387616).

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

55821472 is a wasteful number, since it uses less digits than its factorization.

55821472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 55821472 is about 7471.3768476767. The cubic root of 55821472 is about 382.1792421074.

The spelling of 55821472 in words is "fifty-five million, eight hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 107 112 119 136 137 214 224 238 272 274 428 476 544 548 749 856 952 959 1096 1498 1712 1819 1904 1918 2192 2329 2996 3424 3638 3808 3836 4384 4658 5992 7276 7672 9316 11984 12733 14552 14659 15344 16303 18632 23968 25466 29104 29318 30688 32606 37264 50932 58208 58636 65212 74528 101864 102613 117272 130424 203728 205226 234544 249203 260848 407456 410452 469088 498406 521696 820904 996812 1641808 1744421 1993624 3283616 3488842 3987248 6977684 7974496 13955368 27910736 55821472