Search a number
-
+
5142457940 = 2253155714891
BaseRepresentation
bin1001100101000001…
…11010111001010100
3111021101102221010012
410302200322321110
541012432123230
62210140415352
7241302112514
oct46240727124
914241387105
105142457940
1121a9868844
12bb6247558
1363c519929
1436ad85844
152016e6395
hex13283ae54

5142457940 has 48 divisors (see below), whose sum is σ = 11168285184. Its totient is φ = 1986921600.

The previous prime is 5142457933. The next prime is 5142457951. The reversal of 5142457940 is 497542415.

It is a congruent number.

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, 337895 + ... + 352785.

It is an arithmetic number, because the mean of its divisors is an integer number (232672608).

Almost surely, 25142457940 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 5142457940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584142592).

5142457940 is an abundant number, since it is smaller than the sum of its proper divisors (6025827244).

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

5142457940 is a wasteful number, since it uses less digits than its factorization.

5142457940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15486 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 5142457940 is about 71710.9331971074. The cubic root of 5142457940 is about 1726.0640850535.

The spelling of 5142457940 in words is "five billion, one hundred forty-two million, four hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 557 620 1114 2228 2785 5570 11140 14891 17267 29782 34534 59564 69068 74455 86335 148910 172670 297820 345340 461621 923242 1846484 2308105 4616210 8294287 9232420 16588574 33177148 41471435 82942870 165885740 257122897 514245794 1028491588 1285614485 2571228970 5142457940