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2152529392 = 2413173173269
BaseRepresentation
bin1000000001001100…
…1111110111110000
312120000100211012211
42000103033313300
513402021420032
6553332101504
7104225124616
oct20023176760
95500324184
102152529392
11a05057212
12500a64894
13283c50640
14165c416b6
15c8e91747
hex804cfdf0

2152529392 has 160 divisors (see below), whose sum is σ = 4994680320. Its totient is φ = 889159680.

The previous prime is 2152529383. The next prime is 2152529417. The reversal of 2152529392 is 2939252512.

Its product of digits (97200) is a multiple of the sum of its prime divisors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8001834 + ... + 8002102.

It is an arithmetic number, because the mean of its divisors is an integer number (31216752).

Almost surely, 22152529392 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 2152529392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497340160).

2152529392 is an abundant number, since it is smaller than the sum of its proper divisors (2842150928).

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

2152529392 is a wasteful number, since it uses less digits than its factorization.

2152529392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The square root of 2152529392 is about 46395.3595955458. The cubic root of 2152529392 is about 1291.1688206708.

The spelling of 2152529392 in words is "two billion, one hundred fifty-two million, five hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 31 34 52 62 68 73 104 124 136 146 208 221 248 269 272 292 403 442 496 527 538 584 806 884 949 1054 1076 1168 1241 1612 1768 1898 2108 2152 2263 2482 3224 3497 3536 3796 4216 4304 4526 4573 4964 6448 6851 6994 7592 8339 8432 9052 9146 9928 13702 13988 15184 16133 16678 18104 18292 19637 19856 27404 27976 29419 32266 33356 36208 36584 38471 39274 54808 55952 58838 59449 64532 66712 73168 76942 78548 108407 109616 117676 118898 129064 133424 141763 153884 157096 216814 235352 237796 255281 258128 283526 307768 314192 333829 433628 470704 475592 500123 510562 567052 608747 615536 667658 867256 951184 1000246 1021124 1134104 1217494 1335316 1734512 1842919 2000492 2042248 2268208 2434988 2670632 3685838 4000984 4084496 4339777 4869976 5341264 7371676 7913711 8001968 8679554 9739952 10348699 14743352 15827422 17359108 20697398 29486704 31654844 34718216 41394796 63309688 69436432 82789592 126619376 134533087 165579184 269066174 538132348 1076264696 2152529392