Search a number
-
+
97049052 = 223223117209
BaseRepresentation
bin1011100100011…
…01100111011100
320202121121021100
411302031213130
5144321032202
613344033100
72255621562
oct562154734
9222547240
1097049052
114a866431
1228602790
131714c599
14cc63a32
1587c041c
hex5c8d9dc

97049052 has 36 divisors (see below), whose sum is σ = 255986640. Its totient is φ = 30942912.

The previous prime is 97049027. The next prime is 97049063. The reversal of 97049052 is 25094079.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97048998 and 97049016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57777 + ... + 59432.

It is an arithmetic number, because the mean of its divisors is an integer number (7110740).

Almost surely, 297049052 is an apocalyptic number.

97049052 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

97049052 is an abundant number, since it is smaller than the sum of its proper divisors (158937588).

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

97049052 is a wasteful number, since it uses less digits than its factorization.

97049052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117242 (or 117237 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97049052 is about 9851.3477250577. The cubic root of 97049052 is about 459.5475260895.

The spelling of 97049052 in words is "ninety-seven million, forty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 117209 234418 351627 468836 703254 1054881 1406508 2109762 2695807 4219524 5391614 8087421 10783228 16174842 24262263 32349684 48524526 97049052