Search a number
-
+
1052528664 = 2331122931237
BaseRepresentation
bin111110101111000…
…101000000011000
32201100111222220010
4332233011000120
54123421404124
6252235201520
735040226455
oct7657050030
92640458803
101052528664
114a0141400
122545a62a0
1313a09c535
149db0282c
156260a529
hex3ebc5018

1052528664 has 96 divisors (see below), whose sum is σ = 2904496560. Its totient is φ = 317602560.

The previous prime is 1052528663. The next prime is 1052528681. The reversal of 1052528664 is 4668252501.

It is a super-2 number, since 2×10525286642 = 2215633177083249792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052528663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850254 + ... + 851490.

Almost surely, 21052528664 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 1052528664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452248280).

1052528664 is an abundant number, since it is smaller than the sum of its proper divisors (1851967896).

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

1052528664 is a wasteful number, since it uses less digits than its factorization.

1052528664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1052528664 is about 32442.6981615278. The cubic root of 1052528664 is about 1017.2116153749.

The spelling of 1052528664 in words is "one billion, fifty-two million, five hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 293 363 484 586 726 879 968 1172 1237 1452 1758 2344 2474 2904 3223 3516 3711 4948 6446 7032 7422 9669 9896 12892 13607 14844 19338 25784 27214 29688 35453 38676 40821 54428 70906 77352 81642 106359 108856 141812 149677 163284 212718 283624 299354 326568 362441 425436 449031 598708 724882 850872 898062 1087323 1197416 1449764 1796124 2174646 2899528 3592248 3986851 4349292 7973702 8698584 11960553 15947404 23921106 31894808 43855361 47842212 87710722 95684424 131566083 175421444 263132166 350842888 526264332 1052528664