Search a number
-
+
97801256 = 2372347719
BaseRepresentation
bin1011101010001…
…01010000101000
320211000211002202
411311011100220
5200014120011
613412115332
72265203600
oct565052050
9224024082
1097801256
115022a593
1228905b48
1317353a87
14cdbbc00
1588bd23b
hex5d45428

97801256 has 48 divisors (see below), whose sum is σ = 214228800. Its totient is φ = 41735904.

The previous prime is 97801211. The next prime is 97801259. The reversal of 97801256 is 65210879.

It is not an unprimeable number, because it can be changed into a prime (97801259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135665 + ... + 136383.

It is an arithmetic number, because the mean of its divisors is an integer number (4463100).

Almost surely, 297801256 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 97801256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107114400).

97801256 is an abundant number, since it is smaller than the sum of its proper divisors (116427544).

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

97801256 is a wasteful number, since it uses less digits than its factorization.

97801256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 97801256 is about 9889.4517542683. The cubic root of 97801256 is about 460.7317527889.

The spelling of 97801256 in words is "ninety-seven million, eight hundred one thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 347 392 694 719 1388 1438 2429 2776 2876 4858 5033 5752 9716 10066 17003 19432 20132 34006 35231 40264 68012 70462 136024 140924 249493 281848 498986 997972 1746451 1995944 3492902 6985804 12225157 13971608 24450314 48900628 97801256