Search a number
-
+
51774012 = 223319231097
BaseRepresentation
bin1100010110000…
…0001000111100
310121102101121000
43011200020330
5101223232022
65045410300
71166033433
oct305401074
9117371530
1051774012
1127252644
1215409990
13a959a14
146c3a11a
15482a6ac
hex316023c

51774012 has 96 divisors (see below), whose sum is σ = 147571200. Its totient is φ = 15624576.

The previous prime is 51774011. The next prime is 51774017. The reversal of 51774012 is 21047715.

It is a super-2 number, since 2×517740122 = 5361096637152288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51774011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46648 + ... + 47744.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 251774012 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 51774012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73785600).

51774012 is an abundant number, since it is smaller than the sum of its proper divisors (95797188).

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

51774012 is a wasteful number, since it uses less digits than its factorization.

51774012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 51774012 is about 7195.4160407860. The cubic root of 51774012 is about 372.7096236158.

It can be divided in two parts, 517 and 74012, that added together give a square (74529 = 2732).

The spelling of 51774012 in words is "fifty-one million, seven hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1097 1242 1311 1748 2052 2194 2484 2622 3291 3933 4388 5244 6582 7866 9873 11799 13164 15732 19746 20843 23598 25231 29619 39492 41686 47196 50462 59238 62529 75693 83372 100924 118476 125058 151386 187587 227079 250116 302772 375174 454158 479389 562761 681237 750348 908316 958778 1125522 1362474 1438167 1917556 2251044 2724948 2876334 4314501 5752668 8629002 12943503 17258004 25887006 51774012