Search a number
-
+
96748992 = 26356221
BaseRepresentation
bin1011100010001…
…00010111000000
320202001100200000
411301010113000
5144231431432
613333400000
72253232014
oct561042700
9222040600
1096748992
114a680a4a
1228499000
1317075b32
14cbc6544
15876157c
hex5c445c0

96748992 has 84 divisors (see below), whose sum is σ = 287630616. Its totient is φ = 32244480.

The previous prime is 96748987. The next prime is 96748997. The reversal of 96748992 is 29984769.

It is an interprime number because it is at equal distance from previous prime (96748987) and next prime (96748997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96748997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12442 + ... + 18662.

It is an arithmetic number, because the mean of its divisors is an integer number (3424174).

Almost surely, 296748992 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 96748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143815308).

96748992 is an abundant number, since it is smaller than the sum of its proper divisors (190881624).

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

96748992 is an equidigital number, since it uses as much as digits as its factorization.

96748992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6226 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 96748992 is about 9836.1065467999. The cubic root of 96748992 is about 459.0734215498.

The spelling of 96748992 in words is "ninety-six million, seven hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 6221 7776 12442 15552 18663 24884 37326 49768 55989 74652 99536 111978 149304 167967 199072 223956 298608 335934 398144 447912 503901 597216 671868 895824 1007802 1194432 1343736 1511703 1791648 2015604 2687472 3023406 3583296 4031208 5374944 6046812 8062416 10749888 12093624 16124832 24187248 32249664 48374496 96748992