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51104256 = 2937397
BaseRepresentation
bin1100001011110…
…0101000000000
310120011100212020
43002330220000
5101040314011
65023201440
71160244000
oct302745000
9116140766
1051104256
1126935425
1215146280
13a783c08
146b04000
154747006
hex30bca00

51104256 has 160 divisors (see below), whose sum is σ = 160406400. Its totient is φ = 14450688.

The previous prime is 51104239. The next prime is 51104257. The reversal of 51104256 is 65240115.

It is a super-2 number, since 2×511042562 = 5223289962627072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51104257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526800 + ... + 526896.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 251104256 is an apocalyptic number.

51104256 is a gapful number since it is divisible by the number (56) 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 51104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203200).

51104256 is an abundant number, since it is smaller than the sum of its proper divisors (109302144).

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

51104256 is an frugal number, since it uses more digits than its factorization.

51104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 51104256 is about 7148.7240819604. The cubic root of 51104256 is about 371.0955016987.

It can be divided in two parts, 51104 and 256, that added together give a triangular number (51360 = T320).

The spelling of 51104256 in words is "fifty-one million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 97 98 112 128 147 168 192 194 196 224 256 291 294 336 343 384 388 392 448 512 582 588 672 679 686 768 776 784 896 1029 1164 1176 1344 1358 1372 1536 1552 1568 1792 2037 2058 2328 2352 2688 2716 2744 3104 3136 3584 4074 4116 4656 4704 4753 5376 5432 5488 6208 6272 8148 8232 9312 9408 9506 10752 10864 10976 12416 12544 14259 16296 16464 18624 18816 19012 21728 21952 24832 25088 28518 32592 32928 33271 37248 37632 38024 43456 43904 49664 57036 65184 65856 66542 74496 75264 76048 86912 87808 99813 114072 130368 131712 133084 148992 152096 173824 175616 199626 228144 260736 263424 266168 304192 347648 399252 456288 521472 526848 532336 608384 798504 912576 1042944 1064672 1216768 1597008 1825152 2129344 2433536 3194016 3650304 4258688 6388032 7300608 8517376 12776064 17034752 25552128 51104256