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55625100 = 223521571181
BaseRepresentation
bin1101010000110…
…0010110001100
310212200001021220
43110030112030
5103220000400
65304123340
71243543206
oct324142614
9125601256
1055625100
1129442a63
1216766550
13b6a787b
14755d776
154d3b7a0
hex350c58c

55625100 has 72 divisors (see below), whose sum is σ = 162104208. Its totient is φ = 14726400.

The previous prime is 55625093. The next prime is 55625113. The reversal of 55625100 is 152655.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 46510 + ... + 47690.

Almost surely, 255625100 is an apocalyptic number.

55625100 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 55625100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81052104).

55625100 is an abundant number, since it is smaller than the sum of its proper divisors (106479108).

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

55625100 is a wasteful number, since it uses less digits than its factorization.

55625100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 55625100 is about 7458.2236491004. The cubic root of 55625100 is about 381.7305648267.

Adding to 55625100 its reverse (152655), we get a palindrome (55777755).

The spelling of 55625100 in words is "fifty-five million, six hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1181 1570 1884 2355 2362 3140 3543 3925 4710 4724 5905 7086 7850 9420 11775 11810 14172 15700 17715 23550 23620 29525 35430 47100 59050 70860 88575 118100 177150 185417 354300 370834 556251 741668 927085 1112502 1854170 2225004 2781255 3708340 4635425 5562510 9270850 11125020 13906275 18541700 27812550 55625100