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133864848 = 243213431663
BaseRepresentation
bin1111111101010…
…01110110010000
3100022220001001100
413332221312100
5233232133343
621141104400
73213555345
oct776516620
9308801040
10133864848
1169621707
12389b8100
132196c990
1413ac87cc
15bb439d3
hex7fa9d90

133864848 has 120 divisors (see below), whose sum is σ = 413084672. Its totient is φ = 40207104.

The previous prime is 133864837. The next prime is 133864859. The reversal of 133864848 is 848468331.

It is an interprime number because it is at equal distance from previous prime (133864837) and next prime (133864859).

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

It is a congruent number.

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, 79665 + ... + 81327.

Almost surely, 2133864848 is an apocalyptic number.

133864848 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 133864848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206542336).

133864848 is an abundant number, since it is smaller than the sum of its proper divisors (279219824).

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

133864848 is a wasteful number, since it uses less digits than its factorization.

133864848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1724 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 133864848 is about 11569.9977528088. The cubic root of 133864848 is about 511.5508960572.

The spelling of 133864848 in words is "one hundred thirty-three million, eight hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1663 1677 1872 2064 2236 3096 3326 3354 4472 4989 5031 6192 6652 6708 8944 9978 10062 13304 13416 14967 19956 20124 21619 26608 26832 29934 39912 40248 43238 59868 64857 71509 79824 80496 86476 119736 129714 143018 172952 194571 214527 239472 259428 286036 345904 389142 429054 518856 572072 643581 778284 858108 929617 1037712 1144144 1287162 1556568 1716216 1859234 2574324 2788851 3113136 3432432 3718468 5148648 5577702 7436936 8366553 10297296 11155404 14873872 16733106 22310808 33466212 44621616 66932424 133864848