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52142000 = 245329231
BaseRepresentation
bin1100011011100…
…1111110110000
310122010002101012
43012321332300
5101322021000
65101330052
71202125331
oct306717660
9118102335
1052142000
1127484069
1215566928
13aa58371
146cd4288
15489e735
hex31b9fb0

52142000 has 120 divisors (see below), whose sum is σ = 134788992. Its totient is φ = 19488000.

The previous prime is 52141997. The next prime is 52142039. The reversal of 52142000 is 24125.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681985 + ... + 1682015.

Almost surely, 252142000 is an apocalyptic number.

52142000 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 52142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67394496).

52142000 is an abundant number, since it is smaller than the sum of its proper divisors (82646992).

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

52142000 is a wasteful number, since it uses less digits than its factorization.

52142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 52142000 is about 7220.9417668335. The cubic root of 52142000 is about 373.5905611073.

Adding to 52142000 its reverse (24125), we get a palindrome (52166125).

The spelling of 52142000 in words is "fifty-two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 31 40 50 58 62 80 100 116 124 125 145 155 200 232 248 250 290 310 400 464 496 500 580 620 725 775 841 899 1000 1160 1240 1450 1550 1682 1798 2000 2320 2480 2900 3100 3364 3596 3625 3875 4205 4495 5800 6200 6728 7192 7250 7750 8410 8990 11600 12400 13456 14384 14500 15500 16820 17980 21025 22475 26071 29000 31000 33640 35960 42050 44950 52142 58000 62000 67280 71920 84100 89900 104284 105125 112375 130355 168200 179800 208568 210250 224750 260710 336400 359600 417136 420500 449500 521420 651775 841000 899000 1042840 1303550 1682000 1798000 2085680 2607100 3258875 5214200 6517750 10428400 13035500 26071000 52142000