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52177125 = 35371113139
BaseRepresentation
bin1100011100001…
…0100011100101
310122011212120010
43013002203211
5101324132000
65102200433
71202332620
oct307024345
9118155503
1052177125
11274a84a0
1215583119
13aa6b350
146d02db7
1548a9d50
hex31c28e5

52177125 has 128 divisors (see below), whose sum is σ = 117411840. Its totient is φ = 19872000.

The previous prime is 52177109. The next prime is 52177129.

52177125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52177125 - 24 = 52177109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52177092 and 52177101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52177129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375306 + ... + 375444.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 252177125 is an apocalyptic number.

52177125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52177125 is an abundant number, since it is smaller than the sum of its proper divisors (65234715).

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

52177125 is a wasteful number, since it uses less digits than its factorization.

52177125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 52177125 is about 7223.3735193468. The cubic root of 52177125 is about 373.6744309433.

The spelling of 52177125 in words is "fifty-two million, one hundred seventy-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 125 139 143 165 175 195 231 273 275 325 375 385 417 429 455 525 695 715 825 875 973 975 1001 1155 1365 1375 1529 1625 1807 1925 2085 2145 2275 2625 2919 3003 3475 3575 4125 4587 4865 4875 5005 5421 5775 6825 7645 9035 9625 10425 10703 10725 11375 12649 14595 15015 17375 17875 19877 22935 24325 25025 27105 28875 32109 34125 37947 38225 45175 52125 53515 53625 59631 63245 72975 75075 99385 114675 121625 125125 135525 139139 160545 189735 191125 225875 267575 298155 316225 364875 375375 417417 496925 573375 677625 695695 802725 948675 1337875 1490775 1581125 2087085 2484625 3478475 4013625 4743375 7453875 10435425 17392375 52177125