Search a number
-
+
97919046 = 23219893217
BaseRepresentation
bin1011101011000…
…10000001000110
320211020210200100
411311202001012
5200031402141
613414424530
72266204161
oct565420106
9224223610
1097919046
1150300035
1228962146
1317395584
14d00cad8
1588e30b6
hex5d62046

97919046 has 48 divisors (see below), whose sum is σ = 225903600. Its totient is φ = 30564864.

The previous prime is 97919039. The next prime is 97919069. The reversal of 97919046 is 64091979.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97918992 and 97919010.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28830 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (4706325).

Almost surely, 297919046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97919046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112951800).

97919046 is an abundant number, since it is smaller than the sum of its proper divisors (127984554).

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

97919046 is a wasteful number, since it uses less digits than its factorization.

97919046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97919046 is about 9895.4052974095. The cubic root of 97919046 is about 460.9166441453.

The spelling of 97919046 in words is "ninety-seven million, nine hundred nineteen thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 801 1602 1691 3217 3382 5073 6434 9651 10146 15219 19302 28953 30438 57906 61123 122246 183369 286313 366738 550107 572626 858939 1100214 1717878 2576817 5153634 5439947 10879894 16319841 32639682 48959523 97919046