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50580864 = 273223283
BaseRepresentation
bin1100000011110…
…0110110000000
310112011202220100
43000330312000
5100422041424
65004042400
71152634035
oct300746600
9115152810
1050580864
1126608174
1214b33400
13a62c909
146a0938c
154691dc9
hex303cd80

50580864 has 144 divisors (see below), whose sum is σ = 153988380. Its totient is φ = 15932928.

The previous prime is 50580863. The next prime is 50580911. The reversal of 50580864 is 46808505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50580863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 609367 + ... + 609449.

Almost surely, 250580864 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 50580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76994190).

50580864 is an abundant number, since it is smaller than the sum of its proper divisors (103407516).

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

50580864 is a wasteful number, since it uses less digits than its factorization.

50580864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 50580864 is about 7112.0224971523. The cubic root of 50580864 is about 369.8242749681.

The spelling of 50580864 in words is "fifty million, five hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 83 92 96 128 138 144 166 184 192 207 249 276 288 332 368 384 414 498 529 552 576 664 736 747 828 996 1058 1104 1152 1328 1472 1494 1587 1656 1909 1992 2116 2208 2656 2944 2988 3174 3312 3818 3984 4232 4416 4761 5312 5727 5976 6348 6624 7636 7968 8464 8832 9522 10624 11454 11952 12696 13248 15272 15936 16928 17181 19044 22908 23904 25392 26496 30544 31872 33856 34362 38088 43907 45816 47808 50784 61088 67712 68724 76176 87814 91632 95616 101568 122176 131721 137448 152352 175628 183264 203136 244352 263442 274896 304704 351256 366528 395163 526884 549792 609408 702512 733056 790326 1053768 1099584 1405024 1580652 2107536 2199168 2810048 3161304 4215072 5620096 6322608 8430144 12645216 16860288 25290432 50580864