[go: up one dir, main page]

Search a number
-
+
90964992 = 210329611
BaseRepresentation
bin1010110110000…
…00010000000000
320100011111111210
411123000100000
5141241334432
613005410120
72153122026
oct533002000
9210144453
1090964992
1147390388
1226569940
1315acc251
14c11c716
157ebc8cc
hex56c0400

90964992 has 44 divisors (see below), whose sum is σ = 242463056. Its totient is φ = 30320640.

The previous prime is 90964949. The next prime is 90965053. The reversal of 90964992 is 29946909.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11734 + ... + 17877.

It is an arithmetic number, because the mean of its divisors is an integer number (5510524).

Almost surely, 290964992 is an apocalyptic number.

It is an amenable number.

90964992 is an abundant number, since it is smaller than the sum of its proper divisors (151498064).

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

90964992 is a wasteful number, since it uses less digits than its factorization.

90964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29634 (or 29616 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 90964992 is about 9537.5569198826. The cubic root of 90964992 is about 449.7364580328.

The spelling of 90964992 in words is "ninety million, nine hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 29611 59222 88833 118444 177666 236888 355332 473776 710664 947552 1421328 1895104 2842656 3790208 5685312 7580416 11370624 15160832 22741248 30321664 45482496 90964992