Search a number
-
+
4051233552 = 2431723920773
BaseRepresentation
bin1111000101111000…
…1110101100010000
3101110100002222200010
43301132032230100
531244103433202
61505555554520
7202251626352
oct36136165420
911410088603
104051233552
1117998a7803
129508bba40
134c741c422
142a608d0d2
1518a9e576c
hexf178eb10

4051233552 has 80 divisors (see below), whose sum is σ = 11128216320. Its totient is φ = 1265596416.

The previous prime is 4051233521. The next prime is 4051233583. The reversal of 4051233552 is 2553321504.

4051233552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4051233521) and next prime (4051233583).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184638 + ... + 205410.

It is an arithmetic number, because the mean of its divisors is an integer number (139102704).

Almost surely, 24051233552 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 4051233552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564108160).

4051233552 is an abundant number, since it is smaller than the sum of its proper divisors (7076982768).

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

4051233552 is a wasteful number, since it uses less digits than its factorization.

4051233552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21040 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 4051233552 is about 63649.3012687492. The cubic root of 4051233552 is about 1594.1496700134.

The spelling of 4051233552 in words is "four billion, fifty-one million, two hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 239 272 408 478 717 816 956 1434 1912 2868 3824 4063 5736 8126 11472 12189 16252 20773 24378 32504 41546 48756 62319 65008 83092 97512 124638 166184 195024 249276 332368 353141 498552 706282 997104 1059423 1412564 2118846 2825128 4237692 4964747 5650256 8475384 9929494 14894241 16950768 19858988 29788482 39717976 59576964 79435952 84400699 119153928 168801398 238307856 253202097 337602796 506404194 675205592 1012808388 1350411184 2025616776 4051233552