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51993536 = 267432699
BaseRepresentation
bin1100011001010…
…1101111000000
310121211112201112
43012111233000
5101302243121
65054222452
71200636440
oct306255700
9117745645
1051993536
1127392571
12154b4a28
13aa0590a
146c96120
15487075b
hex3195bc0

51993536 has 56 divisors (see below), whose sum is σ = 120700800. Its totient is φ = 21756672.

The previous prime is 51993523. The next prime is 51993551. The reversal of 51993536 is 63539915.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 51993493 and 51993502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17915 + ... + 20613.

Almost surely, 251993536 is an apocalyptic number.

51993536 is a gapful number since it is divisible by the number (56) 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 51993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60350400).

51993536 is an abundant number, since it is smaller than the sum of its proper divisors (68707264).

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

51993536 is a wasteful number, since it uses less digits than its factorization.

51993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2751 counting only the distinct ones).

The product of its digits is 109350, while the sum is 41.

The square root of 51993536 is about 7210.6543392400. The cubic root of 51993536 is about 373.2356490459.

The spelling of 51993536 in words is "fifty-one million, nine hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2699 2752 4816 5398 9632 10796 18893 19264 21592 37786 43184 75572 86368 116057 151144 172736 232114 302288 464228 604576 812399 928456 1209152 1624798 1856912 3249596 3713824 6499192 7427648 12998384 25996768 51993536