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148368264 = 233112192689
BaseRepresentation
bin10001101011111…
…10101110001000
3101100011212222220
420311332232020
5300440241024
622420014040
73451052352
oct1065765610
9340155886
10148368264
1176828300
1241831320
132497a295
14159c20d2
15d05ae79
hex8d7eb88

148368264 has 96 divisors (see below), whose sum is σ = 429324000. Its totient is φ = 42577920.

The previous prime is 148368247. The next prime is 148368277. The reversal of 148368264 is 462863841.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 53832 + ... + 56520.

It is an arithmetic number, because the mean of its divisors is an integer number (4472125).

Almost surely, 2148368264 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 148368264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214662000).

148368264 is an abundant number, since it is smaller than the sum of its proper divisors (280955736).

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

148368264 is a wasteful number, since it uses less digits than its factorization.

148368264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2724 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 148368264 is about 12180.6512141182. The cubic root of 148368264 is about 529.3956134099.

The spelling of 148368264 in words is "one hundred forty-eight million, three hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 836 968 1254 1452 1672 2299 2508 2689 2904 4598 5016 5378 6897 8067 9196 10756 13794 16134 18392 21512 27588 29579 32268 51091 55176 59158 64536 88737 102182 118316 153273 177474 204364 236632 306546 325369 354948 408728 562001 613092 650738 709896 976107 1124002 1226184 1301476 1686003 1952214 2248004 2602952 3372006 3904428 4496008 6182011 6744012 7808856 12364022 13488024 18546033 24728044 37092066 49456088 74184132 148368264