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55167216 = 24313211419
BaseRepresentation
bin1101001001110…
…0100011110000
310211210210012020
43102130203300
5103110322331
65250231440
71236625236
oct322344360
9124723166
1055167216
112915aa45
1216585580
13b577330
147480956
154c9ac96
hex349c8f0

55167216 has 80 divisors (see below), whose sum is σ = 154573440. Its totient is φ = 16853760.

The previous prime is 55167209. The next prime is 55167221. The reversal of 55167216 is 61276155.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131455 + ... + 131873.

It is an arithmetic number, because the mean of its divisors is an integer number (1932168).

Almost surely, 255167216 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 55167216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77286720).

55167216 is an abundant number, since it is smaller than the sum of its proper divisors (99406224).

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

55167216 is a wasteful number, since it uses less digits than its factorization.

55167216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 55167216 is about 7427.4636316848. The cubic root of 55167216 is about 380.6802588822.

The spelling of 55167216 in words is "fifty-five million, one hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 419 422 624 633 838 844 1257 1266 1676 1688 2514 2532 2743 3352 3376 5028 5064 5447 5486 6704 8229 10056 10128 10894 10972 16341 16458 20112 21788 21944 32682 32916 43576 43888 65364 65832 87152 88409 130728 131664 176818 261456 265227 353636 530454 707272 1060908 1149317 1414544 2121816 2298634 3447951 4243632 4597268 6895902 9194536 13791804 18389072 27583608 55167216