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1142976048 = 243671312713
BaseRepresentation
bin100010000100000…
…0110111000110000
32221122201012101020
41010020012320300
54320100213143
6305225535440
740216064454
oct10410067060
92848635336
101142976048
115371a8905
1227a944580
13152a49cb6
14abb28664
156a524883
hex44206e30

1142976048 has 80 divisors (see below), whose sum is σ = 3020747136. Its totient is φ = 372303360.

The previous prime is 1142976041. The next prime is 1142976061. The reversal of 1142976048 is 8406792411.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1142976041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419940 + ... + 422652.

Almost surely, 21142976048 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 1142976048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510373568).

1142976048 is an abundant number, since it is smaller than the sum of its proper divisors (1877771088).

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

1142976048 is a wasteful number, since it uses less digits than its factorization.

1142976048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1142976048 is about 33807.9287741796. The cubic root of 1142976048 is about 1045.5521750810.

The spelling of 1142976048 in words is "one billion, one hundred forty-two million, nine hundred seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 131 134 201 262 268 393 402 524 536 786 804 1048 1072 1572 1608 2096 2713 3144 3216 5426 6288 8139 8777 10852 16278 17554 21704 26331 32556 35108 43408 52662 65112 70216 105324 130224 140432 181771 210648 355403 363542 421296 545313 710806 727084 1066209 1090626 1421612 1454168 2132418 2181252 2843224 2908336 4264836 4362504 5686448 8529672 8725008 17059344 23812001 47624002 71436003 95248004 142872006 190496008 285744012 380992016 571488024 1142976048