Search a number
-
+
997042572 = 2232531313989
BaseRepresentation
bin111011011011011…
…010100110001100
32120111010000021200
4323123122212030
54020220330242
6242534025500
733464502441
oct7333324614
92514100250
10997042572
11471893929
12239aa8290
1312b743026
14965bb9c8
155c7ea04c
hex3b6da98c

997042572 has 72 divisors (see below), whose sum is σ = 2588105520. Its totient is φ = 323506560.

The previous prime is 997042561. The next prime is 997042573. The reversal of 997042572 is 275240799.

997042572 is a `hidden beast` number, since 9 + 9 + 70 + 4 + 2 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (997042573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247954 + ... + 251942.

It is an arithmetic number, because the mean of its divisors is an integer number (35945910).

Almost surely, 2997042572 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 997042572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294052760).

997042572 is an abundant number, since it is smaller than the sum of its proper divisors (1591062948).

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

997042572 is a wasteful number, since it uses less digits than its factorization.

997042572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 997042572 is about 31575.9809348815. The cubic root of 997042572 is about 999.0132172468.

The spelling of 997042572 in words is "nine hundred ninety-seven million, forty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 131 159 212 262 318 393 477 524 636 786 954 1179 1572 1908 2358 3989 4716 6943 7978 11967 13886 15956 20829 23934 27772 35901 41658 47868 62487 71802 83316 124974 143604 211417 249948 422834 522559 634251 845668 1045118 1268502 1567677 1902753 2090236 2537004 3135354 3805506 4703031 6270708 7611012 9406062 18812124 27695627 55391254 83086881 110782508 166173762 249260643 332347524 498521286 997042572