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71369472 = 283196773
BaseRepresentation
bin1000100000100…
…00001100000000
311222021221111210
410100100030000
5121232310342
611025410120
71524426156
oct420201400
9158257453
1071369472
1137316a39
121ba99940
1311a2ac75
14969b3d6
1563eb79c
hex4410300

71369472 has 144 divisors (see below), whose sum is σ = 205708160. Its totient is φ = 21897216.

The previous prime is 71369449. The next prime is 71369489. The reversal of 71369472 is 27496317.

It is a self number, because there is not a number n which added to its sum of digits gives 71369472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977628 + ... + 977700.

Almost surely, 271369472 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 71369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102854080).

71369472 is an abundant number, since it is smaller than the sum of its proper divisors (134338688).

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

71369472 is a wasteful number, since it uses less digits than its factorization.

71369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 71369472 is about 8448.0454544232. The cubic root of 71369472 is about 414.7988031361.

The spelling of 71369472 in words is "seventy-one million, three hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 73 76 96 114 128 134 146 152 192 201 219 228 256 268 292 304 384 402 438 456 536 584 608 768 804 876 912 1072 1168 1216 1273 1387 1608 1752 1824 2144 2336 2432 2546 2774 3216 3504 3648 3819 4161 4288 4672 4864 4891 5092 5548 6432 7008 7296 7638 8322 8576 9344 9782 10184 11096 12864 14016 14592 14673 15276 16644 17152 18688 19564 20368 22192 25728 28032 29346 30552 33288 39128 40736 44384 51456 56064 58692 61104 66576 78256 81472 88768 92929 117384 122208 133152 156512 162944 177536 185858 234768 244416 266304 278787 313024 325888 355072 371716 469536 488832 532608 557574 626048 743432 939072 977664 1065216 1115148 1252096 1486864 1878144 2230296 2973728 3756288 4460592 5947456 8921184 11894912 17842368 23789824 35684736 71369472