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149841552 = 24374173149
BaseRepresentation
bin10001110111001…
…10011010010000
3101102221201222010
420323212122100
5301324412202
622511342520
73466426560
oct1073463220
9342851863
10149841552
11776441a3
1242221a40
1325074a53
1415c86da0
15d24c76c
hex8ee6690

149841552 has 160 divisors (see below), whose sum is σ = 462470400. Its totient is φ = 40919040.

The previous prime is 149841493. The next prime is 149841563. The reversal of 149841552 is 255148941.

It is a self number, because there is not a number n which added to its sum of digits gives 149841552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005574 + ... + 1005722.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2149841552 is an apocalyptic number.

149841552 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 149841552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

149841552 is an abundant number, since it is smaller than the sum of its proper divisors (312628848).

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

149841552 is a wasteful number, since it uses less digits than its factorization.

149841552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 149841552 is about 12240.9783922691. The cubic root of 149841552 is about 531.1421340956.

The spelling of 149841552 in words is "one hundred forty-nine million, eight hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 73 82 84 112 123 146 149 164 168 219 246 287 292 298 328 336 438 447 492 511 574 584 596 656 861 876 894 984 1022 1043 1148 1168 1192 1533 1722 1752 1788 1968 2044 2086 2296 2384 2993 3066 3129 3444 3504 3576 4088 4172 4592 5986 6109 6132 6258 6888 7152 8176 8344 8979 10877 11972 12218 12264 12516 13776 16688 17958 18327 20951 21754 23944 24436 24528 25032 32631 35916 36654 41902 42763 43508 47888 48872 50064 62853 65262 71832 73308 76139 83804 85526 87016 97744 125706 128289 130524 143664 146616 152278 167608 171052 174032 228417 251412 256578 261048 293232 304556 335216 342104 445957 456834 502824 513156 522096 609112 684208 891914 913668 1005648 1026312 1218224 1337871 1783828 1827336 2052624 2675742 3121699 3567656 3654672 5351484 6243398 7135312 9365097 10702968 12486796 18730194 21405936 24973592 37460388 49947184 74920776 149841552