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52145400 = 23352233373
BaseRepresentation
bin1100011011101…
…0110011111000
310122010021001010
43012322303320
5101322123100
65101353520
71202141256
oct306726370
9118107033
1052145400
112748667a
12155688a0
13aa59a88
146cd55d6
1548a0750
hex31bacf8

52145400 has 96 divisors (see below), whose sum is σ = 162779760. Its totient is φ = 13808640.

The previous prime is 52145389. The next prime is 52145407. The reversal of 52145400 is 454125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52145407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139614 + ... + 139986.

Almost surely, 252145400 is an apocalyptic number.

52145400 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 52145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880).

52145400 is an abundant number, since it is smaller than the sum of its proper divisors (110634360).

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

52145400 is a wasteful number, since it uses less digits than its factorization.

52145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 52145400 is about 7221.1771893508. The cubic root of 52145400 is about 373.5986811148.

Adding to 52145400 its reverse (454125), we get a palindrome (52599525).

The spelling of 52145400 in words is "fifty-two million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 233 300 373 466 600 699 746 932 1119 1165 1398 1492 1864 1865 2238 2330 2796 2984 3495 3730 4476 4660 5592 5595 5825 6990 7460 8952 9320 9325 11190 11650 13980 14920 17475 18650 22380 23300 27960 27975 34950 37300 44760 46600 55950 69900 74600 86909 111900 139800 173818 223800 260727 347636 434545 521454 695272 869090 1042908 1303635 1738180 2085816 2172725 2607270 3476360 4345450 5214540 6518175 8690900 10429080 13036350 17381800 26072700 52145400