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52158000 = 243538693
BaseRepresentation
bin1100011011110…
…1111000110000
310122010220022210
43012331320300
5101323024000
65101532120
71202223066
oct306757060
9118126283
1052158000
1127495094
1215574040
13aa6272b
146cda036
1548a4350
hex31bde30

52158000 has 80 divisors (see below), whose sum is σ = 168176736. Its totient is φ = 13907200.

The previous prime is 52157993. The next prime is 52158013. The reversal of 52158000 is 85125.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654 + ... + 10346.

Almost surely, 252158000 is an apocalyptic number.

52158000 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 52158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088368).

52158000 is an abundant number, since it is smaller than the sum of its proper divisors (116018736).

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

52158000 is a wasteful number, since it uses less digits than its factorization.

52158000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 52158000 is about 7222.0495705859. The cubic root of 52158000 is about 373.6287698301.

The spelling of 52158000 in words is "fifty-two million, one hundred fifty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 8693 17386 26079 34772 43465 52158 69544 86930 104316 130395 139088 173860 208632 217325 260790 347720 417264 434650 521580 651975 695440 869300 1043160 1086625 1303950 1738600 2086320 2173250 2607900 3259875 3477200 4346500 5215800 6519750 8693000 10431600 13039500 17386000 26079000 52158000