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29379792 = 24313197239
BaseRepresentation
bin111000000010…
…0110011010000
32001021122111110
41300010303100
530010123132
62525413320
7504503241
oct160046320
961248443
1029379792
1115647522
129a0a240
1361188c0
143c8acc8
1528a51cc
hex1c04cd0

29379792 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 8956416.

The previous prime is 29379781. The next prime is 29379797. The reversal of 29379792 is 29797392.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29379797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122809 + ... + 123047.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 229379792 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 29379792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

29379792 is an abundant number, since it is smaller than the sum of its proper divisors (53114928).

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

29379792 is a wasteful number, since it uses less digits than its factorization.

29379792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 428652, while the sum is 48.

The square root of 29379792 is about 5420.3129060968. The cubic root of 29379792 is about 308.5670668598.

The spelling of 29379792 in words is "twenty-nine million, three hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 197 208 239 312 394 478 591 624 717 788 956 1182 1434 1576 1912 2364 2561 2868 3107 3152 3824 4728 5122 5736 6214 7683 9321 9456 10244 11472 12428 15366 18642 20488 24856 30732 37284 40976 47083 49712 61464 74568 94166 122928 141249 149136 188332 282498 376664 564996 612079 753328 1129992 1224158 1836237 2259984 2448316 3672474 4896632 7344948 9793264 14689896 29379792