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4025145152 = 26731417069
BaseRepresentation
bin1110111111101010…
…1101011101000000
3101101112000120010002
43233322231131000
531220414121102
61503224455132
7201514112030
oct35772553500
911345016102
104025145152
1117860a9146
1294401a4a8
134c1bb69c2
142a281b8c0
15188590902
hexefead740

4025145152 has 112 divisors (see below), whose sum is σ = 9654113280. Its totient is φ = 1628467200.

The previous prime is 4025145109. The next prime is 4025145167. The reversal of 4025145152 is 2515415204.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565874 + ... + 572942.

It is an arithmetic number, because the mean of its divisors is an integer number (86197440).

Almost surely, 24025145152 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 4025145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827056640).

4025145152 is an abundant number, since it is smaller than the sum of its proper divisors (5628968128).

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

4025145152 is a wasteful number, since it uses less digits than its factorization.

4025145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 4025145152 is about 63444.0316499511. The cubic root of 4025145152 is about 1590.7203929378.

The spelling of 4025145152 in words is "four billion, twenty-five million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 164 217 224 248 287 328 434 448 496 574 656 868 992 1148 1271 1312 1736 1984 2296 2542 2624 3472 4592 5084 6944 7069 8897 9184 10168 13888 14138 17794 18368 20336 28276 35588 40672 49483 56552 71176 81344 98966 113104 142352 197932 219139 226208 284704 289829 395864 438278 452416 569408 579658 791728 876556 1159316 1533973 1583456 1753112 2028803 2318632 3067946 3166912 3506224 4057606 4637264 6135892 7012448 8115212 8984699 9274528 12271784 14024896 16230424 17969398 18549056 24543568 32460848 35938796 49087136 62892893 64921696 71877592 98174272 125785786 129843392 143755184 251571572 287510368 503143144 575020736 1006286288 2012572576 4025145152