Search a number
-
+
76414208 = 281322961
BaseRepresentation
bin1001000110111…
…11110100000000
312022210020120212
410203133310000
5124030223313
611325453252
71615336643
oct443376400
9168706525
1076414208
113a152142
1221711228
1312aa6210
14a211a5a
156a963a8
hex48dfd00

76414208 has 36 divisors (see below), whose sum is σ = 164270148. Its totient is φ = 35266560.

The previous prime is 76414193. The next prime is 76414223. The reversal of 76414208 is 80241467.

It is an interprime number because it is at equal distance from previous prime (76414193) and next prime (76414223).

It can be written as a sum of positive squares in 2 ways, for example, as 30824704 + 45589504 = 5552^2 + 6752^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8153 + ... + 14808.

Almost surely, 276414208 is an apocalyptic number.

It is an amenable number.

76414208 is an abundant number, since it is smaller than the sum of its proper divisors (87855940).

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

76414208 is a wasteful number, since it uses less digits than its factorization.

76414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22990 (or 22976 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 76414208 is about 8741.5220642632. The cubic root of 76414208 is about 424.3504874633.

The spelling of 76414208 in words is "seventy-six million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 22961 45922 91844 183688 298493 367376 596986 734752 1193972 1469504 2387944 2939008 4775888 5878016 9551776 19103552 38207104 76414208