Search a number
-
+
29931468 = 2237356327
BaseRepresentation
bin111001000101…
…1011111001100
32002022200020220
41302023133030
530130301333
62545311340
7512261520
oct162133714
962280226
1029931468
1115993a56
12a035550
13627ca38
143d91d80
1529638b3
hex1c8b7cc

29931468 has 24 divisors (see below), whose sum is σ = 79817472. Its totient is φ = 8551824.

The previous prime is 29931463. The next prime is 29931493. The reversal of 29931468 is 86413992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29931463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178080 + ... + 178247.

It is an arithmetic number, because the mean of its divisors is an integer number (3325728).

Almost surely, 229931468 is an apocalyptic number.

29931468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29931468 is an abundant number, since it is smaller than the sum of its proper divisors (49886004).

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

29931468 is a wasteful number, since it uses less digits than its factorization.

29931468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356341 (or 356339 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 29931468 is about 5470.9659110618. The cubic root of 29931468 is about 310.4864648014.

The spelling of 29931468 in words is "twenty-nine million, nine hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 356327 712654 1068981 1425308 2137962 2494289 4275924 4988578 7482867 9977156 14965734 29931468