Search a number
-
+
997797248 = 2773135923
BaseRepresentation
bin111011011110010…
…010110110000000
32120112112100111122
4323132102312000
54020414002443
6243002131412
733504064610
oct7336226600
92515470448
10997797248
11472259928
1223a1b0b68
1312b948696
1496736a40
155c8e8968
hex3b792d80

997797248 has 64 divisors (see below), whose sum is σ = 2345118720. Its totient is φ = 413821440.

The previous prime is 997797233. The next prime is 997797253. The reversal of 997797248 is 842797799.

997797248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×9977972483 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9815 + ... + 45737.

It is an arithmetic number, because the mean of its divisors is an integer number (36642480).

Almost surely, 2997797248 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 997797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172559360).

997797248 is an abundant number, since it is smaller than the sum of its proper divisors (1347321472).

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

997797248 is a wasteful number, since it uses less digits than its factorization.

997797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35975 (or 35963 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 62.

The square root of 997797248 is about 31587.9288336542. The cubic root of 997797248 is about 999.2652095486.

The spelling of 997797248 in words is "nine hundred ninety-seven million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 35923 71846 143692 251461 287384 502922 574768 1005844 1113613 1149536 2011688 2227226 2299072 4023376 4454452 4598144 7795291 8046752 8908904 15590582 16093504 17817808 31181164 32187008 35635616 62362328 71271232 124724656 142542464 249449312 498898624 997797248