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1142525952 = 2123310331
BaseRepresentation
bin100010000011001…
…1001000000000000
32221121212022222000
41010012121000000
54314441312302
6305212144000
740212211311
oct10406310000
92847768860
101142525952
11536a20727
1227a768000
13152920179
14aba4c608
156a48631c
hex44199000

1142525952 has 104 divisors (see below), whose sum is σ = 3385176480. Its totient is φ = 380805120.

The previous prime is 1142525927. The next prime is 1142525957. The reversal of 1142525952 is 2595252411.

1142525952 is a `hidden beast` number, since 1 + 1 + 42 + 525 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1142525957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105427 + ... + 115757.

Almost surely, 21142525952 is an apocalyptic number.

1142525952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692588240).

1142525952 is an abundant number, since it is smaller than the sum of its proper divisors (2242650528).

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

1142525952 is an equidigital number, since it uses as much as digits as its factorization.

1142525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10336 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1142525952 is about 33801.2714553758. The cubic root of 1142525952 is about 1045.4149133425.

The spelling of 1142525952 in words is "one billion, one hundred forty-two million, five hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 10331 12288 13824 18432 20662 27648 30993 36864 41324 55296 61986 82648 92979 110592 123972 165296 185958 247944 278937 330592 371916 495888 557874 661184 743832 991776 1115748 1322368 1487664 1983552 2231496 2644736 2975328 3967104 4462992 5289472 5950656 7934208 8925984 10578944 11901312 15868416 17851968 21157888 23802624 31736832 35703936 42315776 47605248 63473664 71407872 95210496 126947328 142815744 190420992 285631488 380841984 571262976 1142525952