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29090292 = 223711191657
BaseRepresentation
bin110111011111…
…0000111110100
32000201221101020
41232332013310
524421342132
62515301140
7502156230
oct156760764
960657336
1029090292
1115469a70
1298aa7b0
136046bba
143c135c0
15284952c
hex1bbe1f4

29090292 has 96 divisors (see below), whose sum is σ = 89134080. Its totient is φ = 7153920.

The previous prime is 29090291. The next prime is 29090293. The reversal of 29090292 is 29209092.

It is an interprime number because it is at equal distance from previous prime (29090291) and next prime (29090293).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29090291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16728 + ... + 18384.

It is an arithmetic number, because the mean of its divisors is an integer number (928480).

Almost surely, 229090292 is an apocalyptic number.

29090292 is a gapful number since it is divisible by the number (22) 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 29090292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44567040).

29090292 is an abundant number, since it is smaller than the sum of its proper divisors (60043788).

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

29090292 is a wasteful number, since it uses less digits than its factorization.

29090292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 29090292 is about 5393.5416935442. The cubic root of 29090292 is about 307.5502092644.

The spelling of 29090292 in words is "twenty-nine million, ninety thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 1657 2508 2926 3314 4389 4971 5852 6628 8778 9942 11599 17556 18227 19884 23198 31483 34797 36454 46396 54681 62966 69594 72908 94449 109362 125932 127589 139188 188898 218724 220381 255178 346313 377796 382767 440762 510356 661143 692626 765534 881524 1038939 1322286 1385252 1531068 2077878 2424191 2644572 4155756 4848382 7272573 9696764 14545146 29090292