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55038720 = 2835111303
BaseRepresentation
bin1101000111110…
…1001100000000
310211120020221010
43101331030000
5103042214340
65243400520
71235551512
oct321751400
9124506833
1055038720
1129082450
1216523140
13b5309b9
147449bb2
154c72b80
hex347d300

55038720 has 144 divisors (see below), whose sum is σ = 191907072. Its totient is φ = 13332480.

The previous prime is 55038719. The next prime is 55038749. The reversal of 55038720 is 2783055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41589 + ... + 42891.

It is an arithmetic number, because the mean of its divisors is an integer number (1332688).

Almost surely, 255038720 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 55038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95953536).

55038720 is an abundant number, since it is smaller than the sum of its proper divisors (136868352).

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

55038720 is a wasteful number, since it uses less digits than its factorization.

55038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 55038720 is about 7418.8085296764. The cubic root of 55038720 is about 380.3844677598.

It can be divided in two parts, 5 and 5038720, that added together give a triangular number (5038725 = T3174).

The spelling of 55038720 in words is "fifty-five million, thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1303 1320 1408 1760 1920 2112 2606 2640 2816 3520 3840 3909 4224 5212 5280 6515 7040 7818 8448 10424 10560 13030 14080 14333 15636 19545 20848 21120 26060 28666 31272 39090 41696 42240 42999 52120 57332 62544 71665 78180 83392 85998 104240 114664 125088 143330 156360 166784 171996 208480 214995 229328 250176 286660 312720 333568 343992 416960 429990 458656 500352 573320 625440 687984 833920 859980 917312 1000704 1146640 1250880 1375968 1667840 1719960 1834624 2293280 2501760 2751936 3439920 3669248 4586560 5003520 5503872 6879840 9173120 11007744 13759680 18346240 27519360 55038720