Search a number
-
+
55047600 = 2434521699
BaseRepresentation
bin1101000111111…
…1010110110000
310211120201010000
43101333112300
5103043010400
65243510000
71235616426
oct321772660
9124521100
1055047600
1129089093
1216528300
13b534a5a
14744d116
154c75600
hex347f5b0

55047600 has 150 divisors (see below), whose sum is σ = 197677700. Its totient is φ = 14670720.

The previous prime is 55047593. The next prime is 55047607. The reversal of 55047600 is 674055.

55047600 is a `hidden beast` number, since 5 + 50 + 4 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (55047593) and next prime (55047607).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55047607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31551 + ... + 33249.

Almost surely, 255047600 is an apocalyptic number.

55047600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55047600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98838850).

55047600 is an abundant number, since it is smaller than the sum of its proper divisors (142630100).

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

55047600 is a wasteful number, since it uses less digits than its factorization.

55047600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55047600 is about 7419.4069843890. The cubic root of 55047600 is about 380.4049238583.

The spelling of 55047600 in words is "fifty-five million, forty-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1699 1800 2025 2160 2700 3240 3398 3600 4050 5097 5400 6480 6796 8100 8495 10194 10800 13592 15291 16200 16990 20388 25485 27184 30582 32400 33980 40776 42475 45873 50970 61164 67960 76455 81552 84950 91746 101940 122328 127425 135920 137619 152910 169900 183492 203880 229365 244656 254850 275238 305820 339800 366984 382275 407760 458730 509700 550476 611640 679600 688095 733968 764550 917460 1019400 1100952 1146825 1223280 1376190 1529100 1834920 2038800 2201904 2293650 2752380 3058200 3440475 3669840 4587300 5504760 6116400 6880950 9174600 11009520 13761900 18349200 27523800 55047600