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1052133144 = 233413173373
BaseRepresentation
bin111110101101100…
…100011100011000
32201022202220100020
4332231210130120
54123321230034
6252222510440
735033661366
oct7655443430
92638686306
101052133144
1149a9a1227
12254435420
13139c914ba
149da3c636
156257d249
hex3eb64718

1052133144 has 64 divisors (see below), whose sum is σ = 2703788640. Its totient is φ = 340976640.

The previous prime is 1052133133. The next prime is 1052133161. The reversal of 1052133144 is 4413312501.

It is a happy number.

It is a super-2 number, since 2×10521331442 = 2213968305406649472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310242 + ... + 313614.

Almost surely, 21052133144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351894320).

1052133144 is an abundant number, since it is smaller than the sum of its proper divisors (1651655496).

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

1052133144 is a wasteful number, since it uses less digits than its factorization.

1052133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1052133144 is about 32436.6019182035. The cubic root of 1052133144 is about 1017.0841832336.

Adding to 1052133144 its reverse (4413312501), we get a palindrome (5465445645).

The spelling of 1052133144 in words is "one billion, fifty-two million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 317 328 492 634 951 984 1268 1902 2536 3373 3804 6746 7608 10119 12997 13492 20238 25994 26984 38991 40476 51988 77982 80952 103976 138293 155964 276586 311928 414879 553172 829758 1069241 1106344 1659516 2138482 3207723 3319032 4276964 6415446 8553928 12830892 25661784 43838881 87677762 131516643 175355524 263033286 350711048 526066572 1052133144