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4002498756 = 22324711812003
BaseRepresentation
bin1110111010010001…
…0100100011000100
3101022221102000002200
43232210110203010
531144114430011
61501055234500
7201120451404
oct35644244304
911287360080
104002498756
111774340613
12938518a30
134ba2b7b79
1429d804804
151865ba856
hexee9148c4

4002498756 has 72 divisors (see below), whose sum is σ = 10346603904. Its totient is φ = 1304022720.

The previous prime is 4002498749. The next prime is 4002498779. The reversal of 4002498756 is 6578942004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997251 + ... + 1999253.

It is an arithmetic number, because the mean of its divisors is an integer number (143702832).

Almost surely, 24002498756 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 4002498756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173301952).

4002498756 is an abundant number, since it is smaller than the sum of its proper divisors (6344105148).

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

4002498756 is a wasteful number, since it uses less digits than its factorization.

4002498756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4002498756 is about 63265.3045199341. The cubic root of 4002498756 is about 1587.7315271549.

The spelling of 4002498756 in words is "four billion, two million, four hundred ninety-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1181 1692 2003 2362 3543 4006 4724 6009 7086 8012 10629 12018 14172 18027 21258 24036 36054 42516 55507 72108 94141 111014 166521 188282 222028 282423 333042 376564 499563 564846 666084 847269 999126 1129692 1694538 1998252 2365543 3389076 4731086 7096629 9462172 14193258 21289887 28386516 42579774 85159548 111180521 222361042 333541563 444722084 667083126 1000624689 1334166252 2001249378 4002498756