Search a number
-
+
29379072 = 29331617
BaseRepresentation
bin111000000010…
…0101000000000
32001021121111210
41300010220000
530010112242
62525410120
7504501162
oct160045000
961247453
1029379072
1115646a28
129a09940
136118488
143c8a932
1528a4d9c
hex1c04a00

29379072 has 80 divisors (see below), whose sum is σ = 80923392. Its totient is φ = 9461760.

The previous prime is 29379067. The next prime is 29379113. The reversal of 29379072 is 27097392.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29379072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47308 + ... + 47924.

Almost surely, 229379072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40461696).

29379072 is an abundant number, since it is smaller than the sum of its proper divisors (51544320).

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

29379072 is an equidigital number, since it uses as much as digits as its factorization.

29379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 29379072 is about 5420.2464888601. The cubic root of 29379072 is about 308.5645461918.

The spelling of 29379072 in words is "twenty-nine million, three hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 617 744 768 992 1234 1488 1536 1851 1984 2468 2976 3702 3968 4936 5952 7404 7936 9872 11904 14808 15872 19127 19744 23808 29616 38254 39488 47616 57381 59232 76508 78976 114762 118464 153016 157952 229524 236928 306032 315904 459048 473856 612064 918096 947712 1224128 1836192 2448256 3672384 4896512 7344768 9793024 14689536 29379072