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51667968 = 2103112139
BaseRepresentation
bin1100010100011…
…0010000000000
310121020000010110
43011012100000
5101211333333
65043231320
71165112322
oct305062000
9117200113
1051667968
112718aa00
1215378540
13a920681
146c0d612
154809063
hex3146400

51667968 has 132 divisors (see below), whose sum is σ = 152460560. Its totient is φ = 15544320.

The previous prime is 51667949. The next prime is 51667969. The reversal of 51667968 is 86976615.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (51667969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371643 + ... + 371781.

Almost surely, 251667968 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 51667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76230280).

51667968 is an abundant number, since it is smaller than the sum of its proper divisors (100792592).

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

51667968 is a wasteful number, since it uses less digits than its factorization.

51667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 51667968 is about 7188.0434055451. The cubic root of 51667968 is about 372.4549872789.

The spelling of 51667968 in words is "fifty-one million, six hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 139 176 192 242 256 264 278 352 363 384 417 484 512 528 556 704 726 768 834 968 1024 1056 1112 1408 1452 1529 1536 1668 1936 2112 2224 2816 2904 3058 3072 3336 3872 4224 4448 4587 5632 5808 6116 6672 7744 8448 8896 9174 11264 11616 12232 13344 15488 16819 16896 17792 18348 23232 24464 26688 30976 33638 33792 35584 36696 46464 48928 50457 53376 61952 67276 71168 73392 92928 97856 100914 106752 123904 134552 142336 146784 185856 195712 201828 213504 269104 293568 371712 391424 403656 427008 538208 587136 782848 807312 1076416 1174272 1565696 1614624 2152832 2348544 3229248 4305664 4697088 6458496 8611328 12916992 17222656 25833984 51667968