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3953960028 = 2233177329501
BaseRepresentation
bin1110101110101100…
…1010010001011100
3101012120001222111000
43223223022101130
531044203210103
61452203030300
7166661051154
oct35353122134
911176058430
103953960028
1117499a8767
1292420b390
134b0221925
142971ab764
151821cdaa3
hexebaca45c

3953960028 has 96 divisors (see below), whose sum is σ = 11003065920. Its totient is φ = 1223424000.

The previous prime is 3953960027. The next prime is 3953960039. The reversal of 3953960028 is 8200693593.

3953960028 is a `hidden beast` number, since 3 + 9 + 5 + 39 + 600 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3953960027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119278 + ... + 148778.

It is an arithmetic number, because the mean of its divisors is an integer number (114615270).

Almost surely, 23953960028 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 3953960028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501532960).

3953960028 is an abundant number, since it is smaller than the sum of its proper divisors (7049105892).

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

3953960028 is a wasteful number, since it uses less digits than its factorization.

3953960028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29604 (or 29596 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3953960028 is about 62880.5218489796. The cubic root of 3953960028 is about 1581.2872098645.

The spelling of 3953960028 in words is "three billion, nine hundred fifty-three million, nine hundred sixty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 102 108 146 153 204 219 292 306 438 459 612 657 876 918 1241 1314 1836 1971 2482 2628 3723 3942 4964 7446 7884 11169 14892 22338 29501 33507 44676 59002 67014 88503 118004 134028 177006 265509 354012 501517 531018 796527 1003034 1062036 1504551 1593054 2006068 2153573 3009102 3186108 4307146 4513653 6018204 6460719 8614292 9027306 12921438 13540959 18054612 19382157 25842876 27081918 36610741 38764314 54163836 58146471 73221482 77528628 109832223 116292942 146442964 219664446 232585884 329496669 439328892 658993338 988490007 1317986676 1976980014 3953960028