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5257593152 = 26773373431
BaseRepresentation
bin1001110010110000…
…01000000101000000
3111120102002101221022
410321120020011000
541231420440102
62225412245012
7244200542630
oct47130100500
914512071838
105257593152
112258857609
121028910768
1365a32c486
1437c3966c0
1520b88a5a2
hex139608140

5257593152 has 112 divisors (see below), whose sum is σ = 12147328512. Its totient is φ = 2211287040.

The previous prime is 5257593137. The next prime is 5257593157. The reversal of 5257593152 is 2513957525.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257593157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12198377 + ... + 12198807.

Almost surely, 25257593152 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 5257593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073664256).

5257593152 is an abundant number, since it is smaller than the sum of its proper divisors (6889735360).

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

5257593152 is a wasteful number, since it uses less digits than its factorization.

5257593152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its digits is 472500, while the sum is 44.

The square root of 5257593152 is about 72509.2625255560. The cubic root of 5257593152 is about 1738.8508235292.

The spelling of 5257593152 in words is "five billion, two hundred fifty-seven million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 373 431 448 511 584 746 862 1022 1168 1492 1724 2044 2336 2611 2984 3017 3448 4088 4672 5222 5968 6034 6896 8176 10444 11936 12068 13792 16352 20888 23872 24136 27229 27584 31463 32704 41776 48272 54458 62926 83552 96544 108916 125852 160763 167104 190603 193088 217832 220241 251704 321526 381206 435664 440482 503408 643052 762412 871328 880964 1006816 1125341 1286104 1524824 1742656 1761928 2013632 2250682 2572208 3049648 3523856 4501364 5144416 6099296 7047712 9002728 10288832 11735699 12198592 14095424 18005456 23471398 36010912 46942796 72021824 82149893 93885592 164299786 187771184 328599572 375542368 657199144 751084736 1314398288 2628796576 5257593152