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1132238848 = 2111323432
BaseRepresentation
bin100001101111100…
…1001100000000000
32220220111200201011
41003133021200000
54304323120343
6304203450304
740025604616
oct10337114000
92826450634
101132238848
11531134894
12277226994
1315075aa20
14aa5316b6
156960329d
hex437c9800

1132238848 has 144 divisors (see below), whose sum is σ = 2604616560. Its totient is φ = 488226816.

The previous prime is 1132238837. The next prime is 1132238857. The reversal of 1132238848 is 8488322311.

It is a happy number.

Its product of digits (73728) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1132238848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26331115 + ... + 26331157.

It is an arithmetic number, because the mean of its divisors is an integer number (18087615).

Almost surely, 21132238848 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 1132238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302308280).

1132238848 is an abundant number, since it is smaller than the sum of its proper divisors (1472377712).

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

1132238848 is an equidigital number, since it uses as much as digits as its factorization.

1132238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 81 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 1132238848 is about 33648.7570052744. The cubic root of 1132238848 is about 1042.2678714939.

The spelling of 1132238848 in words is "one billion, one hundred thirty-two million, two hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 43 46 52 64 86 92 104 128 172 184 208 256 299 344 368 416 512 559 598 688 736 832 989 1024 1118 1196 1376 1472 1664 1849 1978 2048 2236 2392 2752 2944 3328 3698 3956 4472 4784 5504 5888 6656 7396 7912 8944 9568 11008 11776 12857 13312 14792 15824 17888 19136 22016 23552 24037 25714 26624 29584 31648 35776 38272 42527 44032 47104 48074 51428 59168 63296 71552 76544 85054 88064 96148 102856 118336 126592 143104 153088 170108 192296 205712 236672 253184 286208 306176 340216 384592 411424 473344 506368 552851 572416 612352 680432 769184 822848 946688 1012736 1105702 1144832 1360864 1538368 1645696 1893376 2025472 2211404 2721728 3076736 3291392 3786752 4422808 5443456 6153472 6582784 8845616 10886912 12306944 13165568 17691232 21773824 24613888 26331136 35382464 43547648 49227776 70764928 87095296 141529856 283059712 566119424 1132238848