Search a number
-
+
55493760 = 273574129
BaseRepresentation
bin1101001110110…
…0010010000000
310212102101010110
43103230102000
5103201300020
65301231320
71242455250
oct323542200
9125371113
1055493760
1129363313
1216702540
13b65cb5a
147527960
154d128e0
hex34ec480

55493760 has 128 divisors (see below), whose sum is σ = 202204800. Its totient is φ = 12681216.

The previous prime is 55493749. The next prime is 55493771. The reversal of 55493760 is 6739455.

It is an interprime number because it is at equal distance from previous prime (55493749) and next prime (55493771).

It is a tau number, because it is divible by the number of its divisors (128).

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, 11376 + ... + 15504.

It is an arithmetic number, because the mean of its divisors is an integer number (1579725).

Almost surely, 255493760 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 55493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101102400).

55493760 is an abundant number, since it is smaller than the sum of its proper divisors (146711040).

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

55493760 is a wasteful number, since it uses less digits than its factorization.

55493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 55493760 is about 7449.4133997248. The cubic root of 55493760 is about 381.4298851911.

The spelling of 55493760 in words is "fifty-five million, four hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4129 4480 6720 8258 12387 13440 16516 20645 24774 28903 33032 41290 49548 57806 61935 66064 82580 86709 99096 115612 123870 132128 144515 165160 173418 198192 231224 247740 264256 289030 330320 346836 396384 433545 462448 495480 528512 578060 660640 693672 792768 867090 924896 990960 1156120 1321280 1387344 1585536 1734180 1849792 1981920 2312240 2642560 2774688 3468360 3699584 3963840 4624480 5549376 6936720 7927680 9248960 11098752 13873440 18497920 27746880 55493760