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148257648 = 24337114457
BaseRepresentation
bin10001101011000…
…11101101110000
3101022222021021000
420311203231300
5300423221043
622413402000
73450112020
oct1065435560
9338867230
10148257648
1176762190
1241799300
132493bb26
1415993a80
15d0382d3
hex8d63b70

148257648 has 160 divisors (see below), whose sum is σ = 530680320. Its totient is φ = 38499840.

The previous prime is 148257623. The next prime is 148257649. The reversal of 148257648 is 846752841.

148257648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (430080) is a multiple of the sum of its prime divisors (4480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148257649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31036 + ... + 35492.

It is an arithmetic number, because the mean of its divisors is an integer number (3316752).

Almost surely, 2148257648 is an apocalyptic number.

148257648 is a gapful number since it is divisible by the number (18) 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 148257648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265340160).

148257648 is an abundant number, since it is smaller than the sum of its proper divisors (382422672).

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

148257648 is a wasteful number, since it uses less digits than its factorization.

148257648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4480 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 148257648 is about 12176.1097235529. The cubic root of 148257648 is about 529.2640170189.

The spelling of 148257648 in words is "one hundred forty-eight million, two hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4457 4752 5544 8316 8914 11088 13371 16632 17828 26742 31199 33264 35656 40113 49027 53484 62398 71312 80226 93597 98054 106968 120339 124796 147081 160452 187194 196108 213936 240678 249592 280791 294162 320904 343189 374388 392216 441243 481356 499184 561582 588324 641808 686378 748776 784432 842373 882486 962712 1029567 1123164 1176648 1323729 1372756 1497552 1684746 1764972 1925424 2059134 2246328 2353296 2647458 2745512 3088701 3369492 3529944 4118268 4492656 5294916 5491024 6177402 6738984 7059888 8236536 9266103 10589832 12354804 13477968 16473072 18532206 21179664 24709608 37064412 49419216 74128824 148257648