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55116984 = 233132107127
BaseRepresentation
bin1101001001000…
…0010010111000
310211201020021210
43102100102320
5103102220414
65245203120
71236325626
oct322202270
9124636253
1055116984
112912622a
12165604a0
13b55a500
14746a516
154c8ae59
hex34904b8

55116984 has 96 divisors (see below), whose sum is σ = 151787520. Its totient is φ = 16668288.

The previous prime is 55116973. The next prime is 55116989. The reversal of 55116984 is 48961155.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55116989) 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, 433929 + ... + 434055.

It is an arithmetic number, because the mean of its divisors is an integer number (1581120).

Almost surely, 255116984 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 55116984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75893760).

55116984 is an abundant number, since it is smaller than the sum of its proper divisors (96670536).

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

55116984 is a wasteful number, since it uses less digits than its factorization.

55116984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 55116984 is about 7424.0813573128. The cubic root of 55116984 is about 380.5646821624.

The spelling of 55116984 in words is "fifty-five million, one hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 127 156 169 214 254 312 321 338 381 428 507 508 642 676 762 856 1014 1016 1284 1352 1391 1524 1651 2028 2568 2782 3048 3302 4056 4173 4953 5564 6604 8346 9906 11128 13208 13589 16692 18083 19812 21463 27178 33384 36166 39624 40767 42926 54249 54356 64389 72332 81534 85852 108498 108712 128778 144664 163068 171704 176657 216996 257556 326136 353314 433992 515112 529971 706628 1059942 1413256 2119884 2296541 4239768 4593082 6889623 9186164 13779246 18372328 27558492 55116984