Search a number
-
+
29479296 = 273711997
BaseRepresentation
bin111000001110…
…1000110000000
32001110200222210
41300131012000
530021314141
62531502120
7505366320
oct160350600
961420883
1029479296
1115705260
129a57940
136151c92
143cb5280
1528c4916
hex1c1d180

29479296 has 128 divisors (see below), whose sum is σ = 97724160. Its totient is φ = 7649280.

The previous prime is 29479273. The next prime is 29479301. The reversal of 29479296 is 69297492.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29070 + ... + 30066.

It is an arithmetic number, because the mean of its divisors is an integer number (763470).

Almost surely, 229479296 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 29479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48862080).

29479296 is an abundant number, since it is smaller than the sum of its proper divisors (68244864).

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

29479296 is a wasteful number, since it uses less digits than its factorization.

29479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 29479296 is about 5429.4839533790. The cubic root of 29479296 is about 308.9150277976.

The spelling of 29479296 in words is "twenty-nine million, four hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 997 1056 1232 1344 1408 1848 1994 2112 2464 2688 2991 3696 3988 4224 4928 5982 6979 7392 7976 9856 10967 11964 13958 14784 15952 20937 21934 23928 27916 29568 31904 32901 41874 43868 47856 55832 63808 65802 76769 83748 87736 95712 111664 127616 131604 153538 167496 175472 191424 223328 230307 263208 307076 334992 350944 382848 446656 460614 526416 614152 669984 701888 893312 921228 1052832 1228304 1339968 1403776 1842456 2105664 2456608 2679936 3684912 4211328 4913216 7369824 9826432 14739648 29479296