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54867696 = 24313233823
BaseRepresentation
bin1101000101001…
…1011011110000
310211020120022220
43101103123300
5103021231241
65240001040
71234240062
oct321233360
9124216286
1054867696
1128a75a04
1216460180
13b4a0bc0
147403732
154c3c166
hex34536f0

54867696 has 80 divisors (see below), whose sum is σ = 159323136. Its totient is φ = 16144128.

The previous prime is 54867691. The next prime is 54867697. The reversal of 54867696 is 69676845.

54867696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54867691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12441 + ... + 16263.

Almost surely, 254867696 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 54867696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79661568).

54867696 is an abundant number, since it is smaller than the sum of its proper divisors (104455440).

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

54867696 is a wasteful number, since it uses less digits than its factorization.

54867696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3864 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 54867696 is about 7407.2731824876. The cubic root of 54867696 is about 379.9900643755.

The spelling of 54867696 in words is "fifty-four million, eight hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 3823 4784 7176 7646 11469 14352 15292 22938 30584 45876 49699 61168 87929 91752 99398 149097 175858 183504 198796 263787 298194 351716 397592 527574 596388 703432 795184 1055148 1143077 1192776 1406864 2110296 2286154 2385552 3429231 4220592 4572308 6858462 9144616 13716924 18289232 27433848 54867696