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51978336 = 253737417
BaseRepresentation
bin1100011001001…
…0000001100000
310121210202212120
43012102001200
5101301301321
65054024240
71200544224
oct306220140
9117722776
1051978336
1127382103
12154a8080
13a9cba17
146c90784
15486aec6
hex3192060

51978336 has 48 divisors (see below), whose sum is σ = 138330864. Its totient is φ = 17086464.

The previous prime is 51978307. The next prime is 51978341. The reversal of 51978336 is 63387915.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3300 + ... + 10716.

It is an arithmetic number, because the mean of its divisors is an integer number (2881893).

Almost surely, 251978336 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 51978336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69165432).

51978336 is an abundant number, since it is smaller than the sum of its proper divisors (86352528).

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

51978336 is a wasteful number, since it uses less digits than its factorization.

51978336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7495 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 51978336 is about 7209.6002663116. The cubic root of 51978336 is about 373.1992744294.

The spelling of 51978336 in words is "fifty-one million, nine hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 7417 14834 22251 29668 44502 59336 89004 118672 178008 237344 356016 541441 712032 1082882 1624323 2165764 3248646 4331528 6497292 8663056 12994584 17326112 25989168 51978336