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50234880 = 293531211
BaseRepresentation
bin1011111110100…
…0011000000000
310111112012022010
42333220120000
5100330004010
64552412520
71146663243
oct277503000
9114465263
1050234880
11263a1233
12149a7140
13a53b2a7
14695925a
154624620
hex2fe8600

50234880 has 160 divisors (see below), whose sum is σ = 166560768. Its totient is φ = 12902400.

The previous prime is 50234861. The next prime is 50234887. The reversal of 50234880 is 8843205.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×502348802 = 5047086337228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50234887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237975 + ... + 238185.

Almost surely, 250234880 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 50234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280384).

50234880 is an abundant number, since it is smaller than the sum of its proper divisors (116325888).

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

50234880 is a wasteful number, since it uses less digits than its factorization.

50234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 50234880 is about 7087.6568765707. The cubic root of 50234880 is about 368.9791191245.

The spelling of 50234880 in words is "fifty million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 211 240 248 256 310 320 372 384 422 465 480 496 512 620 633 640 744 768 844 930 960 992 1055 1240 1266 1280 1488 1536 1688 1860 1920 1984 2110 2480 2532 2560 2976 3165 3376 3720 3840 3968 4220 4960 5064 5952 6330 6541 6752 7440 7680 7936 8440 9920 10128 11904 12660 13082 13504 14880 15872 16880 19623 19840 20256 23808 25320 26164 27008 29760 32705 33760 39246 39680 40512 47616 50640 52328 54016 59520 65410 67520 78492 79360 81024 98115 101280 104656 108032 119040 130820 135040 156984 162048 196230 202560 209312 238080 261640 270080 313968 324096 392460 405120 418624 523280 540160 627936 784920 810240 837248 1046560 1255872 1569840 1620480 1674496 2093120 2511744 3139680 3348992 4186240 5023488 6279360 8372480 10046976 12558720 16744960 25117440 50234880