Search a number
-
+
74268864 = 2632128939
BaseRepresentation
bin1000110110101…
…00000011000000
312011202020201200
410123110003000
5123003100424
611211501200
71561163205
oct433240300
9164666650
1074268864
1138a1732a
1220a57800
1312504897
149c13cac
1567c08c9
hex46d40c0

74268864 has 42 divisors (see below), whose sum is σ = 212879940. Its totient is φ = 24756096.

The previous prime is 74268851. The next prime is 74268881. The reversal of 74268864 is 46886247.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63894 + ... + 65045.

It is an arithmetic number, because the mean of its divisors is an integer number (5068570).

Almost surely, 274268864 is an apocalyptic number.

It is an amenable number.

74268864 is an abundant number, since it is smaller than the sum of its proper divisors (138611076).

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

74268864 is a wasteful number, since it uses less digits than its factorization.

74268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128957 (or 128944 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 74268864 is about 8617.9385005928. The cubic root of 74268864 is about 420.3414909749.

It can be divided in two parts, 7426 and 8864, that added together give a triangular number (16290 = T180).

The spelling of 74268864 in words is "seventy-four million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 128939 257878 386817 515756 773634 1031512 1160451 1547268 2063024 2320902 3094536 4126048 4641804 6189072 8252096 9283608 12378144 18567216 24756288 37134432 74268864