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55101672 = 23321947857
BaseRepresentation
bin1101001000110…
…0100011101000
310211200110021200
43102030203220
5103101223142
65245004200
71236233163
oct322144350
9124613250
1055101672
112911577a
1216553660
13b553552
147464ada
154c8664c
hex348c8e8

55101672 has 96 divisors (see below), whose sum is σ = 160617600. Its totient is φ = 17010432.

The previous prime is 55101659. The next prime is 55101677. The reversal of 55101672 is 27610155.

It is not an unprimeable number, because it can be changed into a prime (55101677) 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 23 ways as a sum of consecutive naturals, for example, 63868 + ... + 64724.

It is an arithmetic number, because the mean of its divisors is an integer number (1673100).

Almost surely, 255101672 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 55101672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80308800).

55101672 is an abundant number, since it is smaller than the sum of its proper divisors (105515928).

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

55101672 is a wasteful number, since it uses less digits than its factorization.

55101672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 55101672 is about 7423.0500469820. The cubic root of 55101672 is about 380.5294374539.

The spelling of 55101672 in words is "fifty-five million, one hundred one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 857 893 1128 1368 1692 1714 1786 2571 2679 3384 3428 3572 5142 5358 6856 7144 7713 8037 10284 10716 15426 16074 16283 20568 21432 30852 32148 32566 40279 48849 61704 64296 65132 80558 97698 120837 130264 146547 161116 195396 241674 293094 322232 362511 390792 483348 586188 725022 765301 966696 1172376 1450044 1530602 2295903 2900088 3061204 4591806 6122408 6887709 9183612 13775418 18367224 27550836 55101672