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55007400 = 23352721871
BaseRepresentation
bin1101000111010…
…1100010101000
310211111122222010
43101311202220
5103040214100
65242555520
71235361300
oct321654250
9124448863
1055007400
1129060968
1216508ba0
13b51c676
14743c600
154c68750
hex34758a8

55007400 has 144 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 12566400.

The previous prime is 55007399. The next prime is 55007431. The reversal of 55007400 is 470055.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28465 + ... + 30335.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 255007400 is an apocalyptic number.

55007400 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 55007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

55007400 is an abundant number, since it is smaller than the sum of its proper divisors (143462040).

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

55007400 is a wasteful number, since it uses less digits than its factorization.

55007400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 55007400 is about 7416.6973782136. The cubic root of 55007400 is about 380.3123009769.

Adding to 55007400 its reverse (470055), we get a palindrome (55477455).

The spelling of 55007400 in words is "fifty-five million, seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1871 1960 2100 2450 2940 3675 3742 4200 4900 5613 5880 7350 7484 9355 9800 11226 13097 14700 14968 18710 22452 26194 28065 29400 37420 39291 44904 46775 52388 56130 65485 74840 78582 91679 93550 104776 112260 130970 140325 157164 183358 187100 196455 224520 261940 275037 280650 314328 327425 366716 374200 392910 458395 523880 550074 561300 654850 733432 785820 916790 982275 1100148 1122600 1309700 1375185 1571640 1833580 1964550 2200296 2291975 2619400 2750370 3667160 3929100 4583950 5500740 6875925 7858200 9167900 11001480 13751850 18335800 27503700 55007400