Search a number
-
+
96489400 = 23527413
BaseRepresentation
bin1011100000001…
…00111110111000
320201120011120111
411300010332320
5144200130100
613324034104
72251101130
oct560047670
9221504514
1096489400
114a513a07
1228392934
1316cb4927
14cb59ac0
15870e6ba
hex5c04fb8

96489400 has 96 divisors (see below), whose sum is σ = 262795680. Its totient is φ = 32275200.

The previous prime is 96489397. The next prime is 96489401. The reversal of 96489400 is 498469.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96489401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353380 + ... + 2353420.

It is an arithmetic number, because the mean of its divisors is an integer number (2737455).

Almost surely, 296489400 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 96489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131397840).

96489400 is an abundant number, since it is smaller than the sum of its proper divisors (166306280).

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

96489400 is an equidigital number, since it uses as much as digits as its factorization.

96489400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 96489400 is about 9822.9018115830. The cubic root of 96489400 is about 458.6624662534.

The spelling of 96489400 in words is "ninety-six million, four hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 1681 2050 2296 2870 3362 4100 5740 6724 7175 8200 8405 11480 11767 13448 14350 16810 23534 28700 33620 42025 47068 57400 58835 67240 68921 84050 94136 117670 137842 168100 235340 275684 294175 336200 344605 470680 482447 551368 588350 689210 964894 1176700 1378420 1723025 1929788 2353400 2412235 2756840 3446050 3859576 4824470 6892100 9648940 12061175 13784200 19297880 24122350 48244700 96489400