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51370368 = 273729659
BaseRepresentation
bin1100001111110…
…1100110000000
310120122212220020
43003331212000
5101122322433
65033013440
71162432560
oct303754600
9116585806
1051370368
1126aa7355
1215254280
13a84808a
146b72da0
15479acb3
hex30fd980

51370368 has 128 divisors (see below), whose sum is σ = 161568000. Its totient is φ = 14149632.

The previous prime is 51370349. The next prime is 51370391. The reversal of 51370368 is 86307315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 77623 + ... + 78281.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 251370368 is an apocalyptic number.

51370368 is a gapful number since it is divisible by the number (58) 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 51370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80784000).

51370368 is an abundant number, since it is smaller than the sum of its proper divisors (110197632).

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

51370368 is a wasteful number, since it uses less digits than its factorization.

51370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 51370368 is about 7167.3124670270. The cubic root of 51370368 is about 371.7385143554.

The spelling of 51370368 in words is "fifty-one million, three hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 659 672 696 812 896 928 1218 1318 1344 1392 1624 1856 1977 2436 2636 2688 2784 3248 3712 3954 4613 4872 5272 5568 6496 7908 9226 9744 10544 11136 12992 13839 15816 18452 19111 19488 21088 25984 27678 31632 36904 38222 38976 42176 55356 57333 63264 73808 76444 77952 84352 110712 114666 126528 133777 147616 152888 221424 229332 253056 267554 295232 305776 401331 442848 458664 535108 590464 611552 802662 885696 917328 1070216 1223104 1605324 1771392 1834656 2140432 2446208 3210648 3669312 4280864 6421296 7338624 8561728 12842592 17123456 25685184 51370368