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1148449752 = 233483131163
BaseRepresentation
bin100010001110011…
…1111001111011000
32222001000021220000
41010130333033120
54323000343002
6305543133000
740313443002
oct10434771730
92861007800
101148449752
1153a2a732a
12280744160
13153c15588
14ac751372
156ac5661c
hex4473f3d8

1148449752 has 160 divisors (see below), whose sum is σ = 3300454080. Its totient is φ = 373014720.

The previous prime is 1148449741. The next prime is 1148449769. The reversal of 1148449752 is 2579448411.

It is a junction number, because it is equal to n+sod(n) for n = 1148449698 and 1148449707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7045623 + ... + 7045785.

It is an arithmetic number, because the mean of its divisors is an integer number (20627838).

Almost surely, 21148449752 is an apocalyptic number.

1148449752 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 1148449752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650227040).

1148449752 is an abundant number, since it is smaller than the sum of its proper divisors (2152004328).

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

1148449752 is a wasteful number, since it uses less digits than its factorization.

1148449752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1148449752 is about 33888.7850475640. The cubic root of 1148449752 is about 1047.2185650552.

The spelling of 1148449752 in words is "one billion, one hundred forty-eight million, four hundred forty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 131 162 163 166 216 249 262 324 326 332 393 489 498 524 648 652 664 747 786 978 996 1048 1179 1304 1467 1494 1572 1956 1992 2241 2358 2934 2988 3144 3537 3912 4401 4482 4716 5868 5976 6723 7074 8802 8964 9432 10611 10873 11736 13203 13446 13529 14148 17604 17928 21222 21353 21746 26406 26892 27058 28296 32619 35208 40587 42444 42706 43492 52812 53784 54116 64059 65238 81174 84888 85412 86984 97857 105624 108232 121761 128118 130476 162348 170824 192177 195714 243522 256236 260952 293571 324696 365283 384354 391428 487044 512472 576531 587142 730566 768708 782856 880713 974088 1095849 1153062 1174284 1461132 1537416 1729593 1761426 1772299 2191698 2306124 2348568 2922264 3459186 3522852 3544598 4383396 4612248 5316897 6918372 7045704 7089196 8766792 10633794 13836744 14178392 15950691 21267588 31901382 42535176 47852073 63802764 95704146 127605528 143556219 191408292 287112438 382816584 574224876 1148449752