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51948036 = 223274601
BaseRepresentation
bin1100011000101…
…0101000000100
310121202020022100
43012022220010
5101244314121
65053232100
71200360000
oct306125004
9117666270
1051948036
1127361368
1215492630
13a9bacaa
146c83700
154862026
hex318aa04

51948036 has 90 divisors (see below), whose sum is σ = 153444382. Its totient is φ = 14817600.

The previous prime is 51948011. The next prime is 51948047. The reversal of 51948036 is 63084915.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 2160900 = 7056^2 + 1470^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86136 + ... + 86736.

Almost surely, 251948036 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 51948036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76722191).

51948036 is an abundant number, since it is smaller than the sum of its proper divisors (101496346).

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

51948036 is a wasteful number, since it uses less digits than its factorization.

51948036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 51948036 is about 7207.4985952132. The cubic root of 51948036 is about 373.1267433401.

The spelling of 51948036 in words is "fifty-one million, nine hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 601 686 882 1029 1202 1372 1764 1803 2058 2401 2404 3087 3606 4116 4207 4802 5409 6174 7203 7212 8414 9604 10818 12348 12621 14406 16828 21609 21636 25242 28812 29449 37863 43218 50484 58898 75726 86436 88347 117796 151452 176694 206143 265041 353388 412286 530082 618429 824572 1060164 1236858 1443001 1855287 2473716 2886002 3710574 4329003 5772004 7421148 8658006 12987009 17316012 25974018 51948036