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51673216 = 277101571
BaseRepresentation
bin1100010100011…
…1100010000000
310121020021022211
43011013202000
5101212020331
65043311504
71165133530
oct305074200
9117207284
1051673216
1127193941
121537b594
13a922b8a
146c114c0
15480a8b1
hex3147880

51673216 has 64 divisors (see below), whose sum is σ = 119021760. Its totient is φ = 21888000.

The previous prime is 51673213. The next prime is 51673231. The reversal of 51673216 is 61237615.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (51673213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90211 + ... + 90781.

It is an arithmetic number, because the mean of its divisors is an integer number (1859715).

Almost surely, 251673216 is an apocalyptic number.

51673216 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 51673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59510880).

51673216 is an abundant number, since it is smaller than the sum of its proper divisors (67348544).

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

51673216 is a wasteful number, since it uses less digits than its factorization.

51673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 51673216 is about 7188.4084469373. The cubic root of 51673216 is about 372.4675971394.

The spelling of 51673216 in words is "fifty-one million, six hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 571 707 808 896 1142 1414 1616 2284 2828 3232 3997 4568 5656 6464 7994 9136 11312 12928 15988 18272 22624 31976 36544 45248 57671 63952 73088 90496 115342 127904 230684 255808 403697 461368 511616 807394 922736 1614788 1845472 3229576 3690944 6459152 7381888 12918304 25836608 51673216