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29699488 = 2572133147
BaseRepresentation
bin111000101001…
…0110110100000
32001212220001001
41301102312200
530100340423
62540321344
7510304300
oct161226640
961786031
1029699488
1115845735
129b43254
1361cb280
143d31600
152919cad
hex1c52da0

29699488 has 144 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 11128320.

The previous prime is 29699443. The next prime is 29699491. The reversal of 29699488 is 88499692.

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, 631881 + ... + 631927.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 229699488 is an apocalyptic number.

29699488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29699488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

29699488 is an abundant number, since it is smaller than the sum of its proper divisors (47521376).

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

29699488 is a wasteful number, since it uses less digits than its factorization.

29699488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 55.

The square root of 29699488 is about 5449.7236627191. The cubic root of 29699488 is about 309.6822550731.

The spelling of 29699488 in words is "twenty-nine million, six hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 47 49 52 56 62 91 94 98 104 112 124 182 188 196 208 217 224 248 329 364 376 392 403 416 434 496 611 637 658 728 752 784 806 868 992 1222 1274 1316 1456 1457 1504 1519 1568 1612 1736 2303 2444 2548 2632 2821 2912 2914 3038 3224 3472 4277 4606 4888 5096 5264 5642 5828 6076 6448 6944 8554 9212 9776 10192 10199 10528 11284 11656 12152 12896 17108 18424 18941 19552 19747 20384 20398 22568 23312 24304 29939 34216 36848 37882 39494 40796 45136 46624 48608 59878 68432 71393 73696 75764 78988 81592 90272 119756 132587 136864 142786 151528 157976 163184 239512 265174 285572 303056 315952 326368 479024 530348 571144 606112 631904 928109 958048 1060696 1142288 1856218 2121392 2284576 3712436 4242784 7424872 14849744 29699488