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148444956 = 223211557673
BaseRepresentation
bin10001101100100…
…01011100011100
3101100022210012100
420312101130130
5301000214311
622421405100
73451522062
oct1066213434
9340283170
10148444956
117687a990
1241869790
13249a616a
1415a02032
15d073a56
hex8d9171c

148444956 has 72 divisors (see below), whose sum is σ = 410692464. Its totient is φ = 44835840.

The previous prime is 148444951. The next prime is 148444963. The reversal of 148444956 is 659444841.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148444951) 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 23 ways as a sum of consecutive naturals, for example, 220236 + ... + 220908.

It is an arithmetic number, because the mean of its divisors is an integer number (5704062).

Almost surely, 2148444956 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 148444956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205346232).

148444956 is an abundant number, since it is smaller than the sum of its proper divisors (262247508).

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

148444956 is a wasteful number, since it uses less digits than its factorization.

148444956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1246 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 148444956 is about 12183.7989149526. The cubic root of 148444956 is about 529.4868130906.

The spelling of 148444956 in words is "one hundred forty-eight million, four hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 557 673 1114 1346 1671 2019 2228 2692 3342 4038 5013 6057 6127 6684 7403 8076 10026 12114 12254 14806 18381 20052 22209 24228 24508 29612 36762 44418 55143 66627 73524 88836 110286 133254 220572 266508 374861 749722 1124583 1499444 2249166 3373749 4123471 4498332 6747498 8246942 12370413 13494996 16493884 24740826 37111239 49481652 74222478 148444956