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1052265492 = 223441113701
BaseRepresentation
bin111110101110000…
…100110000010100
32201100000121220000
4332232010300110
54123334443432
6252225411300
735035052265
oct7656046024
92640017800
101052265492
1149aa81703
12254499b30
1313a009805
149da7496c
15625a757c
hex3eb84c14

1052265492 has 120 divisors (see below), whose sum is σ = 2846916072. Its totient is φ = 338688000.

The previous prime is 1052265463. The next prime is 1052265509. The reversal of 1052265492 is 2945622501.

1052265492 is a `hidden beast` number, since 105 + 2 + 2 + 6 + 549 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 1052094096 = 414^2 + 32436^2 .

It is a super-2 number, since 2×10522654922 = 2214525331308004128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1500742 + ... + 1501442.

Almost surely, 21052265492 is an apocalyptic number.

1052265492 is a gapful number since it is divisible by the number (12) 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 1052265492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423458036).

1052265492 is an abundant number, since it is smaller than the sum of its proper divisors (1794650580).

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

1052265492 is a wasteful number, since it uses less digits than its factorization.

1052265492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1052265492 is about 32438.6419567774. The cubic root of 1052265492 is about 1017.1268278407.

Adding to 1052265492 its reverse (2945622501), we get a palindrome (3997887993).

The spelling of 1052265492 in words is "one billion, fifty-two million, two hundred sixty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 113 123 162 164 226 246 324 339 369 452 492 678 701 738 1017 1107 1356 1402 1476 2034 2103 2214 2804 3051 3321 4068 4206 4428 4633 6102 6309 6642 8412 9153 9266 12204 12618 13284 13899 18306 18532 18927 25236 27798 28741 36612 37854 41697 55596 56781 57482 75708 79213 83394 86223 113562 114964 125091 158426 166788 172446 227124 237639 250182 258669 316852 344892 375273 475278 500364 517338 712917 750546 776007 950556 1034676 1425834 1501092 1552014 2138751 2328021 2851668 3104028 3247733 4277502 4656042 6416253 6495466 8555004 9312084 9743199 12832506 12990932 19486398 25665012 29229597 38972796 58459194 87688791 116918388 175377582 263066373 350755164 526132746 1052265492