Search a number
-
+
29891274 = 2372293347
BaseRepresentation
bin111001000000…
…1101011001010
32002020122010020
41302001223022
530123010044
62544401310
7512033400
oct162015312
962218106
1029891274
1115966836
12a016236
13626765a
143d81470
152956a19
hex1c81aca

29891274 has 48 divisors (see below), whose sum is σ = 69981408. Its totient is φ = 8486688.

The previous prime is 29891263. The next prime is 29891291. The reversal of 29891274 is 47219892.

29891274 = 1622 + 1632 + ... + 4542.

It is a super-2 number, since 2×298912742 = 1786976522686152, which contains 22 as substring.

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

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 85969 + ... + 86315.

It is an arithmetic number, because the mean of its divisors is an integer number (1457946).

Almost surely, 229891274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29891274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34990704).

29891274 is an abundant number, since it is smaller than the sum of its proper divisors (40090134).

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

29891274 is a wasteful number, since it uses less digits than its factorization.

29891274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 29891274 is about 5467.2912854539. The cubic root of 29891274 is about 310.3474218012.

The spelling of 29891274 in words is "twenty-nine million, eight hundred ninety-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 293 294 347 586 694 879 1041 1758 2051 2082 2429 4102 4858 6153 7287 12306 14357 14574 17003 28714 34006 43071 51009 86142 101671 102018 203342 305013 610026 711697 1423394 2135091 4270182 4981879 9963758 14945637 29891274