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247052000 = 2553134751
BaseRepresentation
bin11101011100110…
…11011011100000
3122012212112122002
432232123123200
51001221131000
640303103132
76056623136
oct1656333340
9565775562
10247052000
111174aa908
126a8a1aa8
133c24c920
1424b4d756
1516a508d5
hexeb9b6e0

247052000 has 96 divisors (see below), whose sum is σ = 653837184. Its totient is φ = 91200000.

The previous prime is 247051999. The next prime is 247052009. The reversal of 247052000 is 250742.

It is a super-2 number, since 2×2470520002 = 122069381408000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247052009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49625 + ... + 54375.

It is an arithmetic number, because the mean of its divisors is an integer number (6810804).

Almost surely, 2247052000 is an apocalyptic number.

247052000 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 247052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326918592).

247052000 is an abundant number, since it is smaller than the sum of its proper divisors (406785184).

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

247052000 is a wasteful number, since it uses less digits than its factorization.

247052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 247052000 is about 15717.8878988241. The cubic root of 247052000 is about 627.4745628647.

The spelling of 247052000 in words is "two hundred forty-seven million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 4751 5200 6500 9502 10400 13000 19004 23755 26000 38008 47510 52000 61763 76016 95020 118775 123526 152032 190040 237550 247052 308815 380080 475100 494104 593875 617630 760160 950200 988208 1187750 1235260 1544075 1900400 1976416 2375500 2470520 3088150 3800800 4751000 4941040 6176300 7720375 9502000 9882080 12352600 15440750 19004000 24705200 30881500 49410400 61763000 123526000 247052000