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1052201440 = 25515741887
BaseRepresentation
bin111110101101110…
…101000111100000
32201022220101000201
4332231311013200
54123330421230
6252224154544
735034364453
oct7655650740
92638811021
101052201440
1149aa38574
12254468a54
13139cb6604
149da5949a
15625935ca
hex3eb751e0

1052201440 has 48 divisors (see below), whose sum is σ = 2501718912. Its totient is φ = 418189824.

The previous prime is 1052201429. The next prime is 1052201441. The reversal of 1052201440 is 441022501.

It is a super-2 number, since 2×10522014402 = 2214255740676147200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052201441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4177 + ... + 46063.

It is an arithmetic number, because the mean of its divisors is an integer number (52119144).

Almost surely, 21052201440 is an apocalyptic number.

1052201440 is a gapful number since it is divisible by the number (10) 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 1052201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250859456).

1052201440 is an abundant number, since it is smaller than the sum of its proper divisors (1449517472).

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

1052201440 is a wasteful number, since it uses less digits than its factorization.

1052201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42059 (or 42051 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1052201440 is about 32437.6546624444. The cubic root of 1052201440 is about 1017.1061897255.

Adding to 1052201440 its reverse (441022501), we get a palindrome (1493223941).

The spelling of 1052201440 in words is "one billion, fifty-two million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 41887 83774 167548 209435 335096 418870 670192 837740 1340384 1675480 3350960 6576259 6701920 13152518 26305036 32881295 52610072 65762590 105220144 131525180 210440288 263050360 526100720 1052201440