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29426936 = 23711233167
BaseRepresentation
bin111000001000…
…0010011111000
32001101001011112
41300100103320
530013130221
62530415452
7505060550
oct160202370
961331145
1029426936
1115679990
129a31588
1361341b6
143ca0160
1528b415b
hex1c104f8

29426936 has 128 divisors (see below), whose sum is σ = 75202560. Its totient is φ = 10454400.

The previous prime is 29426927. The next prime is 29426941. The reversal of 29426936 is 63962492.

It is a junction number, because it is equal to n+sod(n) for n = 29426893 and 29426902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439175 + ... + 439241.

It is an arithmetic number, because the mean of its divisors is an integer number (587520).

Almost surely, 229426936 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 29426936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601280).

29426936 is an abundant number, since it is smaller than the sum of its proper divisors (45775624).

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

29426936 is a wasteful number, since it uses less digits than its factorization.

29426936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 29426936 is about 5424.6599893450. The cubic root of 29426936 is about 308.7320250481.

The spelling of 29426936 in words is "twenty-nine million, four hundred twenty-six thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 31 44 46 56 62 67 77 88 92 124 134 154 161 184 217 248 253 268 308 322 341 434 469 506 536 616 644 682 713 737 868 938 1012 1288 1364 1426 1474 1541 1736 1771 1876 2024 2077 2387 2728 2852 2948 3082 3542 3752 4154 4774 4991 5159 5704 5896 6164 7084 7843 8308 9548 9982 10318 10787 12328 14168 14539 15686 16616 16951 19096 19964 20636 21574 22847 29078 31372 33902 39928 41272 43148 45694 47771 54901 58156 62744 67804 86296 91388 95542 109802 116312 118657 135608 159929 182776 191084 219604 237314 319858 334397 382168 439208 474628 525481 639716 668794 949256 1050962 1279432 1337588 2101924 2675176 3678367 4203848 7356734 14713468 29426936