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29903874 = 23711132383
BaseRepresentation
bin111001000010…
…0110000000010
32002021021101220
41302010300002
530123410444
62544535510
7512115210
oct162046002
962237356
1029903874
1115975250
12a021596
136270300
143d85cb0
15295a619
hex1c84c02

29903874 has 96 divisors (see below), whose sum is σ = 80953344. Its totient is φ = 7151040.

The previous prime is 29903869. The next prime is 29903917. The reversal of 29903874 is 47830992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77887 + ... + 78269.

It is an arithmetic number, because the mean of its divisors is an integer number (843264).

Almost surely, 229903874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29903874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40476672).

29903874 is an abundant number, since it is smaller than the sum of its proper divisors (51049470).

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

29903874 is a wasteful number, since it uses less digits than its factorization.

29903874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 29903874 is about 5468.4434714094. The cubic root of 29903874 is about 310.3910223539.

The spelling of 29903874 in words is "twenty-nine million, nine hundred three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 383 429 462 507 546 766 858 1001 1014 1149 1183 1859 2002 2298 2366 2681 3003 3549 3718 4213 4979 5362 5577 6006 7098 8043 8426 9958 11154 12639 13013 14937 16086 25278 26026 29491 29874 34853 39039 54769 58982 64727 69706 78078 88473 104559 109538 129454 164307 176946 194181 209118 328614 383383 388362 453089 711997 766766 906178 1150149 1359267 1423994 2135991 2300298 2718534 4271982 4983979 9967958 14951937 29903874