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97490944 = 211181263
BaseRepresentation
bin1011100111110…
…01100000000000
320210110001102201
411303321200000
5144424202234
613401322544
72262442105
oct563714000
9223401381
1097490944
1150038431
1228796454
1317275765
14cd3aaac
15885b314
hex5cf9800

97490944 has 48 divisors (see below), whose sum is σ = 196756560. Its totient is φ = 48291840.

The previous prime is 97490923. The next prime is 97490959. The reversal of 97490944 is 44909479.

It is a super-2 number, since 2×974909442 = 19008968324022272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97490894 and 97490903.

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 3 ways as a sum of consecutive naturals, for example, 370557 + ... + 370819.

It is an arithmetic number, because the mean of its divisors is an integer number (4099095).

Almost surely, 297490944 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 97490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98378280).

97490944 is an abundant number, since it is smaller than the sum of its proper divisors (99265616).

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

97490944 is a wasteful number, since it uses less digits than its factorization.

97490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 97490944 is about 9873.7502500316. The cubic root of 97490944 is about 460.2439537759.

The spelling of 97490944 in words is "ninety-seven million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 181 256 263 362 512 526 724 1024 1052 1448 2048 2104 2896 4208 5792 8416 11584 16832 23168 33664 46336 47603 67328 92672 95206 134656 185344 190412 269312 370688 380824 538624 761648 1523296 3046592 6093184 12186368 24372736 48745472 97490944