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148352512 = 297115371
BaseRepresentation
bin10001101011110…
…10111000000000
3101100011002101111
420311322320000
5300434240022
622415413104
73450655420
oct1065727000
9340132344
10148352512
1176817490
1241824194
1324973069
14159ba480
15d056477
hex8d7ae00

148352512 has 160 divisors (see below), whose sum is σ = 381832704. Its totient is φ = 55910400.

The previous prime is 148352509. The next prime is 148352521. The reversal of 148352512 is 215253841.

Its product of digits (9600) is a multiple of the sum of its prime factors (160).

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, 2089437 + ... + 2089507.

Almost surely, 2148352512 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 148352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190916352).

148352512 is an abundant number, since it is smaller than the sum of its proper divisors (233480192).

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

148352512 is an equidigital number, since it uses as much as digits as its factorization.

148352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 148352512 is about 12180.0045977003. The cubic root of 148352512 is about 529.3768777437.

The spelling of 148352512 in words is "one hundred forty-eight million, three hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 71 77 88 106 112 128 142 154 176 212 224 256 284 308 352 371 424 448 497 512 568 583 616 704 742 781 848 896 994 1136 1166 1232 1408 1484 1562 1696 1792 1988 2272 2332 2464 2816 2968 3124 3392 3584 3763 3976 4081 4544 4664 4928 5467 5632 5936 6248 6784 7526 7952 8162 9088 9328 9856 10934 11872 12496 13568 15052 15904 16324 18176 18656 19712 21868 23744 24992 26341 27136 30104 31808 32648 36352 37312 39424 41393 43736 47488 49984 52682 60208 63616 65296 74624 82786 87472 94976 99968 105364 120416 127232 130592 149248 165572 174944 189952 199936 210728 240832 254464 261184 289751 298496 331144 349888 399872 421456 481664 522368 579502 662288 699776 842912 963328 1044736 1159004 1324576 1399552 1685824 1926656 2089472 2318008 2649152 2799104 3371648 4636016 5298304 6743296 9272032 10596608 13486592 18544064 21193216 37088128 74176256 148352512