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4252475376 = 243423913729
BaseRepresentation
bin1111110101110111…
…1001111111110000
3101222100210010120000
43331131321333300
532202113203001
61541545150000
7210244305252
oct37535717760
911870703500
104252475376
111892458766
129a818b300
1352a01ca26
142c4ab5cd2
1519d4e7a86
hexfd779ff0

4252475376 has 100 divisors (see below), whose sum is σ = 12360295200. Its totient is φ = 1411458048.

The previous prime is 4252475363. The next prime is 4252475393. The reversal of 4252475376 is 6735742524.

4252475376 is a `hidden beast` number, since 4 + 2 + 524 + 7 + 53 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 302880 + ... + 316608.

It is an arithmetic number, because the mean of its divisors is an integer number (123602952).

Almost surely, 24252475376 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 4252475376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180147600).

4252475376 is an abundant number, since it is smaller than the sum of its proper divisors (8107819824).

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

4252475376 is a wasteful number, since it uses less digits than its factorization.

4252475376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13973 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 4252475376 is about 65211.0065556421. The cubic root of 4252475376 is about 1620.1203202815.

The spelling of 4252475376 in words is "four billion, two hundred fifty-two million, four hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 324 432 478 648 717 956 1296 1434 1912 2151 2868 3824 4302 5736 6453 8604 11472 12906 13729 17208 19359 25812 27458 34416 38718 41187 51624 54916 77436 82374 103248 109832 123561 154872 164748 219664 247122 309744 329496 370683 494244 658992 741366 988488 1112049 1482732 1976976 2224098 2965464 3281231 4448196 5930928 6562462 8896392 9843693 13124924 17792784 19687386 26249848 29531079 39374772 52499696 59062158 78749544 88593237 118124316 157499088 177186474 236248632 265779711 354372948 472497264 531559422 708745896 1063118844 1417491792 2126237688 4252475376