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252452000000 = 285663113
BaseRepresentation
bin1110101100011101001…
…1111101000100000000
3220010121210222100210002
43223013103331010000
513114010203000000
6311550322255132
724144665410544
oct3530723750400
9803553870702
10252452000000
1198078633132
1240b157b74a8
131aa63083375
14c30c329a24
1568782128d5
hex3ac74fd100

252452000000 has 126 divisors (see below), whose sum is σ = 629899241874. Its totient is φ = 100979200000.

The previous prime is 252451999981. The next prime is 252452000057. The reversal of 252452000000 is 254252.

It can be written as a sum of positive squares in 7 ways, for example, as 234457387264 + 17994612736 = 484208^2 + 134144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3968444 + ... + 4031556.

Almost surely, 2252452000000 is an apocalyptic number.

252452000000 is a gapful number since it is divisible by the number (20) 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 252452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314949620937).

252452000000 is an abundant number, since it is smaller than the sum of its proper divisors (377447241874).

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

252452000000 is an frugal number, since it uses more digits than its factorization.

252452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63159 (or 63120 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 252452000000 its reverse (254252), we get a palindrome (252452254252).

The spelling of 252452000000 in words is "two hundred fifty-two billion, four hundred fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 63113 80000 100000 125000 126226 160000 200000 250000 252452 315565 400000 500000 504904 631130 800000 1000000 1009808 1262260 1577825 2000000 2019616 2524520 3155650 4000000 4039232 5049040 6311300 7889125 8078464 10098080 12622600 15778250 16156928 20196160 25245200 31556500 39445625 40392320 50490400 63113000 78891250 80784640 100980800 126226000 157782500 197228125 201961600 252452000 315565000 394456250 403923200 504904000 631130000 788912500 986140625 1009808000 1262260000 1577825000 1972281250 2019616000 2524520000 3155650000 3944562500 5049040000 6311300000 7889125000 10098080000 12622600000 15778250000 25245200000 31556500000 50490400000 63113000000 126226000000 252452000000