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29903076 = 223271071109
BaseRepresentation
bin111001000010…
…0100011100100
32002021020022100
41302010203210
530123344301
62544532100
7512112660
oct162044344
962236270
1029903076
1115974695
12a021030
13626cb38
143d858a0
15295a286
hex1c848e4

29903076 has 72 divisors (see below), whose sum is σ = 87272640. Its totient is φ = 8456256.

The previous prime is 29903057. The next prime is 29903087. The reversal of 29903076 is 67030992.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29903076.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26410 + ... + 27518.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 229903076 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 29903076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636320).

29903076 is an abundant number, since it is smaller than the sum of its proper divisors (57369564).

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

29903076 is a wasteful number, since it uses less digits than its factorization.

29903076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 29903076 is about 5468.3705068329. The cubic root of 29903076 is about 310.3882613489.

The spelling of 29903076 in words is "twenty-nine million, nine hundred three thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1109 1284 1498 1926 2218 2247 2996 3327 3852 4436 4494 6654 6741 7763 8988 9981 13308 13482 15526 19962 23289 26964 31052 39924 46578 69867 93156 118663 139734 237326 279468 355989 474652 711978 830641 1067967 1423956 1661282 2135934 2491923 3322564 4271868 4983846 7475769 9967692 14951538 29903076