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148785966 = 23274183347
BaseRepresentation
bin10001101111001…
…00101100101110
3101100222002222100
420313210230232
5301042122331
622432555530
73454442220
oct1067445456
9340862870
10148785966
1176a9310a
12419b2ba6
1324a95444
1415a90410
15d0deae6
hex8de4b2e

148785966 has 96 divisors (see below), whose sum is σ = 383056128. Its totient is φ = 40855680.

The previous prime is 148785953. The next prime is 148785971. The reversal of 148785966 is 669587841.

148785966 is a `hidden beast` number, since 1 + 48 + 7 + 8 + 596 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428605 + ... + 428951.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168).

Almost surely, 2148785966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148785966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191528064).

148785966 is an abundant number, since it is smaller than the sum of its proper divisors (234270162).

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

148785966 is a wasteful number, since it uses less digits than its factorization.

148785966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 148785966 is about 12197.7852907813. The cubic root of 148785966 is about 529.8919513929.

The spelling of 148785966 in words is "one hundred forty-eight million, seven hundred eighty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 83 123 126 166 246 249 287 347 369 498 574 581 694 738 747 861 1041 1162 1494 1722 1743 2082 2429 2583 3123 3403 3486 4858 5166 5229 6246 6806 7287 10209 10458 14227 14574 20418 21861 23821 28454 28801 30627 42681 43722 47642 57602 61254 71463 85362 86403 99589 128043 142926 172806 199178 201607 214389 256086 259209 298767 403214 428778 518418 597534 604821 896301 1180841 1209642 1792602 1814463 2361682 3542523 3628926 7085046 8265887 10627569 16531774 21255138 24797661 49595322 74392983 148785966