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1128831552 = 26341712809
BaseRepresentation
bin100001101001000…
…1001101001000000
32220200002120210000
41003102021221000
54302440102202
6304002440000
736654624042
oct10322115100
92820076700
101128831552
1152a217942
12276063000
1314cb36b84
14a9cc5a92
156917d91c
hex43489a40

1128831552 has 140 divisors (see below), whose sum is σ = 3543322860. Its totient is φ = 354115584.

The previous prime is 1128831547. The next prime is 1128831563. The reversal of 1128831552 is 2551388211.

1128831552 is a `hidden beast` number, since 1 + 1 + 28 + 83 + 1 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 624200256 + 504631296 = 24984^2 + 22464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81724 + ... + 94532.

It is an arithmetic number, because the mean of its divisors is an integer number (25309449).

Almost surely, 21128831552 is an apocalyptic number.

1128831552 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 1128831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771661430).

1128831552 is an abundant number, since it is smaller than the sum of its proper divisors (2414491308).

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

1128831552 is a wasteful number, since it uses less digits than its factorization.

1128831552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12850 (or 12831 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1128831552 is about 33598.0885170570. The cubic root of 1128831552 is about 1041.2213068344.

The spelling of 1128831552 in words is "one billion, one hundred twenty-eight million, eight hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 12809 14688 22032 25618 29376 38427 44064 51236 76854 88128 102472 115281 153708 204944 217753 230562 307416 345843 409888 435506 461124 614832 653259 691686 819776 871012 922248 1037529 1229664 1306518 1383372 1742024 1844496 1959777 2075058 2459328 2613036 2766744 3484048 3688992 3919554 4150116 5226072 5533488 5879331 6968096 7377984 7839108 8300232 10452144 11066976 11758662 13936192 15678216 16600464 17637993 20904288 22133952 23517324 31356432 33200928 35275986 41808576 47034648 62712864 66401856 70551972 94069296 125425728 141103944 188138592 282207888 376277184 564415776 1128831552