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148047264 = 253579241
BaseRepresentation
bin10001101001100…
…00010110100000
3101022120120200000
420310300112200
5300400003024
622405100000
73445244451
oct1064602640
9338516600
10148047264
1176629112
12416b7600
1324897141
141593b128
15cee5cc9
hex8d305a0

148047264 has 144 divisors (see below), whose sum is σ = 443963520. Its totient is φ = 48522240.

The previous prime is 148047257. The next prime is 148047281. The reversal of 148047264 is 462740841.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614184 + ... + 614424.

It is an arithmetic number, because the mean of its divisors is an integer number (3083080).

Almost surely, 2148047264 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 148047264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760).

148047264 is an abundant number, since it is smaller than the sum of its proper divisors (295916256).

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

148047264 is an equidigital number, since it uses as much as digits as its factorization.

148047264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 148047264 is about 12167.4674439671. The cubic root of 148047264 is about 529.0135490137.

The spelling of 148047264 in words is "one hundred forty-eight million, forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 241 243 288 316 324 432 474 482 486 632 648 711 723 864 948 964 972 1264 1296 1422 1446 1896 1928 1944 2133 2169 2528 2592 2844 2892 3792 3856 3888 4266 4338 5688 5784 6399 6507 7584 7712 7776 8532 8676 11376 11568 12798 13014 17064 17352 19039 19197 19521 22752 23136 25596 26028 34128 34704 38078 38394 39042 51192 52056 57117 58563 68256 69408 76156 76788 78084 102384 104112 114234 117126 152312 153576 156168 171351 204768 208224 228468 234252 304624 307152 312336 342702 456936 468504 514053 609248 614304 624672 685404 913872 937008 1028106 1370808 1542159 1827744 1874016 2056212 2741616 3084318 4112424 4626477 5483232 6168636 8224848 9252954 12337272 16449696 18505908 24674544 37011816 49349088 74023632 148047264