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51237984 = 2537194013
BaseRepresentation
bin1100001101110…
…1010001100000
310120102011022010
43003131101200
5101104103414
65030112520
71161341610
oct303352140
9116364263
1051237984
1126a16946
12151ab740
13a7cca45
146b3aa40
154771959
hex30dd460

51237984 has 96 divisors (see below), whose sum is σ = 161844480. Its totient is φ = 13865472.

The previous prime is 51237973. The next prime is 51238001. The reversal of 51237984 is 48973215.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×512379843 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 10762 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (1685880).

Almost surely, 251237984 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 51237984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80922240).

51237984 is an abundant number, since it is smaller than the sum of its proper divisors (110606496).

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

51237984 is a wasteful number, since it uses less digits than its factorization.

51237984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 51237984 is about 7158.0712485976. The cubic root of 51237984 is about 371.4189100896.

The spelling of 51237984 in words is "fifty-one million, two hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4013 4256 6384 8026 12039 12768 16052 24078 28091 32104 48156 56182 64208 76247 84273 96312 112364 128416 152494 168546 192624 224728 228741 304988 337092 385248 449456 457482 533729 609976 674184 898912 914964 1067458 1219952 1348368 1601187 1829928 2134916 2439904 2696736 3202374 3659856 4269832 6404748 7319712 8539664 12809496 17079328 25618992 51237984