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148675472 = 24111723779
BaseRepresentation
bin10001101110010…
…01101110010000
3101100202111101222
420313021232100
5301030103342
622430344212
73453502121
oct1067115620
9340674358
10148675472
1176a180a0
124195b068
1324a5706a
1415a62048
15d0bbed2
hex8dc9b90

148675472 has 120 divisors (see below), whose sum is σ = 347180160. Its totient is φ = 61102080.

The previous prime is 148675459. The next prime is 148675477. The reversal of 148675472 is 274576841.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (148675477) 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, 1881929 + ... + 1882007.

It is an arithmetic number, because the mean of its divisors is an integer number (2893168).

Almost surely, 2148675472 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 148675472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173590080).

148675472 is an abundant number, since it is smaller than the sum of its proper divisors (198504688).

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

148675472 is a wasteful number, since it uses less digits than its factorization.

148675472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The square root of 148675472 is about 12193.2551847323. The cubic root of 148675472 is about 529.7607464085.

The spelling of 148675472 in words is "one hundred forty-eight million, six hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 79 88 136 148 158 176 187 272 289 296 316 374 407 578 592 629 632 748 814 869 1156 1258 1264 1343 1496 1628 1738 2312 2516 2686 2923 2992 3179 3256 3476 4624 5032 5372 5846 6358 6512 6919 6952 10064 10693 10744 11692 12716 13838 13904 14773 21386 21488 22831 23384 25432 27676 29546 32153 42772 45662 46768 49691 50864 55352 59092 64306 85544 91324 99382 110704 117623 118184 128612 171088 182648 198764 235246 236368 251141 257224 365296 397528 470492 502282 514448 546601 795056 844747 940984 1004564 1093202 1689494 1881968 2009128 2186404 3378988 4018256 4372808 6757976 8745616 9292217 13515952 18584434 37168868 74337736 148675472