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147025152 = 283389239
BaseRepresentation
bin10001100001101…
…10110100000000
3101020122122121000
420300312310000
5300114301102
622331132000
73433456521
oct1060666400
9336578530
10147025152
1175aa019a
12412a4000
13245c9b41
1415752848
15cd9301c
hex8c36d00

147025152 has 144 divisors (see below), whose sum is σ = 441504000. Its totient is φ = 48254976.

The previous prime is 147025147. The next prime is 147025171. The reversal of 147025152 is 251520741.

147025152 is a `hidden beast` number, since 147 + 0 + 2 + 515 + 2 = 666.

147025152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615049 + ... + 615287.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2147025152 is an apocalyptic number.

147025152 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 147025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220752000).

147025152 is an abundant number, since it is smaller than the sum of its proper divisors (294478848).

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

147025152 is an equidigital number, since it uses as much as digits as its factorization.

147025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 147025152 is about 12125.3928596149. The cubic root of 147025152 is about 527.7933075279.

Adding to 147025152 its reverse (251520741), we get a palindrome (398545893).

The spelling of 147025152 in words is "one hundred forty-seven million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 216 239 256 267 288 356 384 432 478 534 576 712 717 768 801 864 956 1068 1152 1424 1434 1602 1728 1912 2136 2151 2304 2403 2848 2868 3204 3456 3824 4272 4302 4806 5696 5736 6408 6453 6912 7648 8544 8604 9612 11392 11472 12816 12906 15296 17088 17208 19224 21271 22784 22944 25632 25812 30592 34176 34416 38448 42542 45888 51264 51624 61184 63813 68352 68832 76896 85084 91776 102528 103248 127626 137664 153792 170168 183552 191439 205056 206496 255252 275328 307584 340336 382878 412992 510504 550656 574317 615168 680672 765756 825984 1021008 1148634 1361344 1531512 1651968 2042016 2297268 2722688 3063024 4084032 4594536 5445376 6126048 8168064 9189072 12252096 16336128 18378144 24504192 36756288 49008384 73512576 147025152