Search a number
-
+
97631864 = 23112967571
BaseRepresentation
bin1011101000110…
…11111001111000
320210201012201222
411310123321320
5144443204424
613404331212
72263600001
oct564337170
9223635658
1097631864
11501242a0
1228843b08
13172c4945
14cd761a8
158887e5e
hex5d1be78

97631864 has 64 divisors (see below), whose sum is σ = 210038400. Its totient is φ = 42134400.

The previous prime is 97631851. The next prime is 97631869. The reversal of 97631864 is 46813679.

It is a super-2 number, since 2×976318642 = 19063961736228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97631869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170699 + ... + 171269.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 297631864 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 97631864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200).

97631864 is an abundant number, since it is smaller than the sum of its proper divisors (112406536).

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

97631864 is a wasteful number, since it uses less digits than its factorization.

97631864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 97631864 is about 9880.8837661416. The cubic root of 97631864 is about 460.4656029210.

The spelling of 97631864 in words is "ninety-seven million, six hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 67 88 116 134 232 268 319 536 571 638 737 1142 1276 1474 1943 2284 2552 2948 3886 4568 5896 6281 7772 12562 15544 16559 21373 25124 33118 38257 42746 50248 66236 76514 85492 132472 153028 170984 182149 306056 364298 420827 728596 841654 1109453 1457192 1683308 2218906 3366616 4437812 8875624 12203983 24407966 48815932 97631864