Search a number
-
+
94461216 = 2533131741
BaseRepresentation
bin1011010000101…
…01110100100000
320120202010102120
411220111310200
5143140224331
613212344240
72224623063
oct550256440
9216663376
1094461216
1149359123
1227775080
1316754715
14c78c8da
15845d796
hex5a15d20

94461216 has 48 divisors (see below), whose sum is σ = 255967488. Its totient is φ = 30470400.

The previous prime is 94461193. The next prime is 94461277. The reversal of 94461216 is 61216449.

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 (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12895 + ... + 18846.

It is an arithmetic number, because the mean of its divisors is an integer number (5332656).

Almost surely, 294461216 is an apocalyptic number.

94461216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

94461216 is an abundant number, since it is smaller than the sum of its proper divisors (161506272).

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

94461216 is a wasteful number, since it uses less digits than its factorization.

94461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31785 (or 31777 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 94461216 is about 9719.1160091852. The cubic root of 94461216 is about 455.4260245211.

The spelling of 94461216 in words is "ninety-four million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 31741 63482 95223 126964 190446 253928 380892 507856 761784 983971 1015712 1523568 1967942 2951913 3047136 3935884 5903826 7871768 11807652 15743536 23615304 31487072 47230608 94461216