Search a number
-
+
1052413544 = 237133146633
BaseRepresentation
bin111110101110101…
…000111001101000
32201100022010222102
4332232220321220
54123404213134
6252232512532
735036240030
oct7656507150
92640263872
101052413544
114a0072966
1225454b748
1313a05c010
149dab28c0
15625d637e
hex3eba8e68

1052413544 has 64 divisors (see below), whose sum is σ = 2507043840. Its totient is φ = 402900480.

The previous prime is 1052413517. The next prime is 1052413559. The reversal of 1052413544 is 4453142501.

It is a super-2 number, since 2×10524135442 = 2215148535189279872, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 749 + ... + 45884.

It is an arithmetic number, because the mean of its divisors is an integer number (39172560).

Almost surely, 21052413544 is an apocalyptic number.

1052413544 is a gapful number since it is divisible by the number (14) 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 1052413544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253521920).

1052413544 is an abundant number, since it is smaller than the sum of its proper divisors (1454630296).

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

1052413544 is a wasteful number, since it uses less digits than its factorization.

1052413544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46690 (or 46686 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 1052413544 is about 32440.9239079284. The cubic root of 1052413544 is about 1017.1745282865.

The spelling of 1052413544 in words is "one billion, fifty-two million, four hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 22568 46633 93266 186532 326431 373064 606229 652862 1212458 1305724 1445623 2424916 2611448 2891246 4243603 4849832 5782492 8487206 10119361 11564984 16974412 18793099 20238722 33948824 37586198 40477444 75172396 80954888 131551693 150344792 263103386 526206772 1052413544