Search a number
-
+
81603264 = 26317231087
BaseRepresentation
bin1001101110100…
…10101011000000
312200112212122010
410313102223000
5131342301024
612033012520
72010421251
oct467225300
9180485563
1081603264
1142076816
12233b4140
1313ba2072
14aba2b28
15726db29
hex4dd2ac0

81603264 has 112 divisors (see below), whose sum is σ = 238768128. Its totient is φ = 24465408.

The previous prime is 81603257. The next prime is 81603317. The reversal of 81603264 is 46230618.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74529 + ... + 75615.

Almost surely, 281603264 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 81603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119384064).

81603264 is an abundant number, since it is smaller than the sum of its proper divisors (157164864).

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

81603264 is a wasteful number, since it uses less digits than its factorization.

81603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 81603264 is about 9033.4524961390. The cubic root of 81603264 is about 433.7463601806.

The spelling of 81603264 in words is "eighty-one million, six hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1087 1088 1104 1173 1472 1564 1632 2174 2208 2346 3128 3261 3264 4348 4416 4692 6256 6522 8696 9384 12512 13044 17392 18479 18768 25001 25024 26088 34784 36958 37536 50002 52176 55437 69568 73916 75003 75072 100004 104352 110874 147832 150006 200008 208704 221748 295664 300012 400016 425017 443496 591328 600024 800032 850034 886992 1182656 1200048 1275051 1600064 1700068 1773984 2400096 2550102 3400136 3547968 4800192 5100204 6800272 10200408 13600544 20400816 27201088 40801632 81603264