Search a number
-
+
1142958592 = 2931107673
BaseRepresentation
bin100010000100000…
…0010101000000000
32221122200022102201
41010020002220000
54320044133332
6305225322544
740215662536
oct10410025000
92848608381
101142958592
11537196786
1227a936454
13152a42079
14abb22156
156a51e5e7
hex44202a00

1142958592 has 80 divisors (see below), whose sum is σ = 2382918912. Its totient is φ = 547061760.

The previous prime is 1142958589. The next prime is 1142958611. The reversal of 1142958592 is 2958592411.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697968 + ... + 1698640.

Almost surely, 21142958592 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 1142958592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191459456).

1142958592 is an abundant number, since it is smaller than the sum of its proper divisors (1239960320).

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

1142958592 is an equidigital number, since it uses as much as digits as its factorization.

1142958592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The square root of 1142958592 is about 33807.6706089018. The cubic root of 1142958592 is about 1045.5468523531.

The spelling of 1142958592 in words is "one billion, one hundred forty-two million, nine hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 128 214 248 256 428 496 512 673 856 992 1346 1712 1984 2692 3317 3424 3968 5384 6634 6848 7936 10768 13268 13696 15872 20863 21536 26536 27392 41726 43072 53072 54784 72011 83452 86144 106144 144022 166904 172288 212288 288044 333808 344576 424576 576088 667616 849152 1152176 1335232 1698304 2232341 2304352 2670464 4464682 4608704 5340928 8929364 9217408 10681856 17858728 18434816 35717456 36869632 71434912 142869824 285739648 571479296 1142958592