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51661620 = 22325377757
BaseRepresentation
bin1100010100010…
…0101100110100
310121012200102100
43011010230310
5101211132440
65043142100
71165054653
oct305045464
9117180370
1051661620
112718615a
1215374930
13a91a80a
146c0b19a
154807230
hex3144b34

51661620 has 72 divisors (see below), whose sum is σ = 160962984. Its totient is φ = 13402368.

The previous prime is 51661613. The next prime is 51661637. The reversal of 51661620 is 2616615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22695696 + 28965924 = 4764^2 + 5382^2 .

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 23 ways as a sum of consecutive naturals, for example, 2782 + ... + 10538.

It is an arithmetic number, because the mean of its divisors is an integer number (2235597).

Almost surely, 251661620 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 51661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80481492).

51661620 is an abundant number, since it is smaller than the sum of its proper divisors (109301364).

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

51661620 is a wasteful number, since it uses less digits than its factorization.

51661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51661620 is about 7187.6018253657. The cubic root of 51661620 is about 372.4397332045.

It can be divided in two parts, 516616 and 20, that added together give a triangular number (516636 = T1016).

The spelling of 51661620 in words is "fifty-one million, six hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 7757 15514 23271 31028 38785 46542 69813 77570 93084 116355 139626 155140 232710 279252 287009 349065 465420 574018 698130 861027 1148036 1396260 1435045 1722054 2583081 2870090 3444108 4305135 5166162 5740180 8610270 10332324 12915405 17220540 25830810 51661620