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148408572 = 2231317107523
BaseRepresentation
bin10001101100010…
…00100011111100
3101100020221021210
420312020203330
5300443033242
622420524420
73451311024
oct1066104374
9340227253
10148408572
1176855614
1241850710
1324992730
14159d2a84
15d067d9c
hex8d888fc

148408572 has 96 divisors (see below), whose sum is σ = 399313152. Its totient is φ = 42494976.

The previous prime is 148408553. The next prime is 148408577. The reversal of 148408572 is 275804841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 148408572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148408577) by changing a digit.

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, 283503 + ... + 284025.

It is an arithmetic number, because the mean of its divisors is an integer number (4159512).

Almost surely, 2148408572 is an apocalyptic number.

148408572 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 148408572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199656576).

148408572 is an abundant number, since it is smaller than the sum of its proper divisors (250904580).

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

148408572 is a wasteful number, since it uses less digits than its factorization.

148408572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 148408572 is about 12182.3056930944. The cubic root of 148408572 is about 529.4435503152.

The spelling of 148408572 in words is "one hundred forty-eight million, four hundred eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 107 156 204 214 221 321 428 442 523 642 663 884 1046 1284 1326 1391 1569 1819 2092 2652 2782 3138 3638 4173 5457 5564 6276 6799 7276 8346 8891 10914 13598 16692 17782 20397 21828 23647 26673 27196 35564 40794 47294 53346 55961 70941 81588 94588 106692 111922 115583 141882 167883 223844 231166 283764 335766 346749 462332 671532 693498 727493 951337 1386996 1454986 1902674 2182479 2854011 2909972 3805348 4364958 5708022 8729916 11416044 12367381 24734762 37102143 49469524 74204286 148408572