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148038272 = 2719292099
BaseRepresentation
bin10001101001011…
…10001010000000
3101022120010022222
420310232022000
5300344211042
622404550212
73445206314
oct1064561200
9338503288
10148038272
1176622388
12416b2368
1324893015
1415937b44
15cee32d2
hex8d2e280

148038272 has 64 divisors (see below), whose sum is σ = 321300000. Its totient is φ = 67673088.

The previous prime is 148038269. The next prime is 148038287. The reversal of 148038272 is 272830841.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69479 + ... + 71577.

Almost surely, 2148038272 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 148038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160650000).

148038272 is an abundant number, since it is smaller than the sum of its proper divisors (173261728).

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

148038272 is a wasteful number, since it uses less digits than its factorization.

148038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 148038272 is about 12167.0979284298. The cubic root of 148038272 is about 529.0028385014.

The spelling of 148038272 in words is "one hundred forty-eight million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 464 551 608 928 1102 1216 1856 2099 2204 2432 3712 4198 4408 8396 8816 16792 17632 33584 35264 39881 60871 67168 70528 79762 121742 134336 159524 243484 268672 319048 486968 638096 973936 1156549 1276192 1947872 2313098 2552384 3895744 4626196 5104768 7791488 9252392 18504784 37009568 74019136 148038272