Search a number
-
+
152404812 = 22327604781
BaseRepresentation
bin10010001010110…
…00001101001100
3101121202222002200
421011120031030
5303003423222
623042321500
73530263620
oct1105301514
9347688080
10152404812
1179034a9a
1243059290
1325761681
1416353180
15d5a6eac
hex915834c

152404812 has 36 divisors (see below), whose sum is σ = 440281296. Its totient is φ = 43544160.

The previous prime is 152404807. The next prime is 152404817. The reversal of 152404812 is 218404251.

It is an interprime number because it is at equal distance from previous prime (152404807) and next prime (152404817).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152404817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 302139 + ... + 302642.

It is an arithmetic number, because the mean of its divisors is an integer number (12230036).

Almost surely, 2152404812 is an apocalyptic number.

152404812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152404812 is an abundant number, since it is smaller than the sum of its proper divisors (287876484).

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

152404812 is a wasteful number, since it uses less digits than its factorization.

152404812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604798 (or 604793 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 152404812 is about 12345.2343841662. The cubic root of 152404812 is about 534.1536821483.

The spelling of 152404812 in words is "one hundred fifty-two million, four hundred four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 604781 1209562 1814343 2419124 3628686 4233467 5443029 7257372 8466934 10886058 12700401 16933868 21772116 25400802 38101203 50801604 76202406 152404812