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51474000 = 2435323373
BaseRepresentation
bin1100010001011…
…0111001010000
310120212011001110
43010112321100
5101134132000
65035133320
71163343654
oct304267120
9116764043
1051474000
11270681a6
12152a4240
13a8832b6
146b9ca64
1547bb850
hex3116e50

51474000 has 160 divisors (see below), whose sum is σ = 173631744. Its totient is φ = 13094400.

The previous prime is 51473999. The next prime is 51474001. The reversal of 51474000 is 47415.

It is an interprime number because it is at equal distance from previous prime (51473999) and next prime (51474001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51474001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 137814 + ... + 138186.

Almost surely, 251474000 is an apocalyptic number.

51474000 is a gapful number since it is divisible by the number (50) 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 51474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86815872).

51474000 is an abundant number, since it is smaller than the sum of its proper divisors (122157744).

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

51474000 is a wasteful number, since it uses less digits than its factorization.

51474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 51474000 is about 7174.5383126721. The cubic root of 51474000 is about 371.9883219828.

The spelling of 51474000 in words is "fifty-one million, four hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 373 375 400 460 500 552 575 600 690 746 750 920 1000 1104 1119 1150 1200 1380 1492 1500 1725 1840 1865 2000 2238 2300 2760 2875 2984 3000 3450 3730 4476 4600 5520 5595 5750 5968 6000 6900 7460 8579 8625 8952 9200 9325 11190 11500 13800 14920 17158 17250 17904 18650 22380 23000 25737 27600 27975 29840 34316 34500 37300 42895 44760 46000 46625 51474 55950 68632 69000 74600 85790 89520 93250 102948 111900 128685 137264 138000 139875 149200 171580 186500 205896 214475 223800 257370 279750 343160 373000 411792 428950 447600 514740 559500 643425 686320 746000 857900 1029480 1072375 1119000 1286850 1715800 2058960 2144750 2238000 2573700 3217125 3431600 4289500 5147400 6434250 8579000 10294800 12868500 17158000 25737000 51474000