Search a number
-
+
5142509952 = 27341326633
BaseRepresentation
bin1001100101000010…
…00111100110000000
3111021101112120110120
410302201013212000
541012440304302
62210141500240
7241302420246
oct46241074600
914241476416
105142509952
1121a98a3928
12bb6271680
1363c5374c8
1436ad9a796
152017069bc
hex132847980

5142509952 has 64 divisors (see below), whose sum is σ = 13993000560. Its totient is φ = 1672355840.

The previous prime is 5142509951. The next prime is 5142509959. The reversal of 5142509952 is 2599052415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142509951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147573 + ... + 179060.

Almost surely, 25142509952 is an apocalyptic number.

It is an amenable number.

5142509952 is an abundant number, since it is smaller than the sum of its proper divisors (8850490608).

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

5142509952 is a wasteful number, since it uses less digits than its factorization.

5142509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326691 (or 326679 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 5142509952 is about 71711.2958466098. The cubic root of 5142509952 is about 1726.0699043033.

The spelling of 5142509952 in words is "five billion, one hundred forty-two million, five hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 326633 653266 979899 1306532 1959798 2613064 3919596 5226128 7839192 10452256 13391953 15678384 20904512 26783906 31356768 40175859 41809024 53567812 62713536 80351718 107135624 125427072 160703436 214271248 321406872 428542496 642813744 857084992 1285627488 1714169984 2571254976 5142509952