Search a number
-
+
51224000 = 265319337
BaseRepresentation
bin1100001101100…
…1110111000000
310120101110010012
43003121313000
5101103132000
65025524052
71161253052
oct303316700
9116343105
1051224000
1126a07393
12151a3628
13a7c6579
146b358d2
15476c735
hex30d9dc0

51224000 has 112 divisors (see below), whose sum is σ = 133929120. Its totient is φ = 19353600.

The previous prime is 51223973. The next prime is 51224029. The reversal of 51224000 is 42215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151832 + ... + 152168.

Almost surely, 251224000 is an apocalyptic number.

51224000 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 51224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66964560).

51224000 is an abundant number, since it is smaller than the sum of its proper divisors (82705120).

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

51224000 is a wasteful number, since it uses less digits than its factorization.

51224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 51224000 is about 7157.0943824991. The cubic root of 51224000 is about 371.3851174862.

Adding to 51224000 its reverse (42215), we get a palindrome (51266215).

The spelling of 51224000 in words is "fifty-one million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 337 380 400 475 500 608 674 760 800 950 1000 1216 1348 1520 1600 1685 1900 2000 2375 2696 3040 3370 3800 4000 4750 5392 6080 6403 6740 7600 8000 8425 9500 10784 12806 13480 15200 16850 19000 21568 25612 26960 30400 32015 33700 38000 42125 51224 53920 64030 67400 76000 84250 102448 107840 128060 134800 152000 160075 168500 204896 256120 269600 320150 337000 409792 512240 539200 640300 674000 800375 1024480 1280600 1348000 1600750 2048960 2561200 2696000 3201500 5122400 6403000 10244800 12806000 25612000 51224000