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50468960 = 255615171
BaseRepresentation
bin1100000010000…
…1100001100000
310111222002101202
43000201201200
5100410001320
65001420332
71151656553
oct300414140
9114862352
1050468960
1126541093
1214a9a6a8
13a5c09b9
1469ba69a
15466db75
hex3021860

50468960 has 48 divisors (see below), whose sum is σ = 121210992. Its totient is φ = 19852800.

The previous prime is 50468953. The next prime is 50468981. The reversal of 50468960 is 6986405.

50468960 = T416 + T417 + ... + T720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7175 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (2525229).

Almost surely, 250468960 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 50468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60605496).

50468960 is an abundant number, since it is smaller than the sum of its proper divisors (70742032).

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

50468960 is a wasteful number, since it uses less digits than its factorization.

50468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 50468960 is about 7104.1508992982. The cubic root of 50468960 is about 369.5513432071.

The spelling of 50468960 in words is "fifty million, four hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 5171 9760 10342 20684 25855 41368 51710 82736 103420 165472 206840 315431 413680 630862 827360 1261724 1577155 2523448 3154310 5046896 6308620 10093792 12617240 25234480 50468960