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96900492 = 223136773127
BaseRepresentation
bin1011100011010…
…01010110001100
320202100001111010
411301221112030
5144301303432
613340525220
72254432503
oct561512614
9222301433
1096900492
114a774857
1228550810
13170c9a90
14cc2583a
1587913cc
hex5c6958c

96900492 has 96 divisors (see below), whose sum is σ = 252485632. Its totient is φ = 28740096.

The previous prime is 96900487. The next prime is 96900499. The reversal of 96900492 is 29400969.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 96900492.

It is not an unprimeable number, because it can be changed into a prime (96900499) 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 31 ways as a sum of consecutive naturals, for example, 762933 + ... + 763059.

Almost surely, 296900492 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 96900492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126242816).

96900492 is an abundant number, since it is smaller than the sum of its proper divisors (155585140).

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

96900492 is a wasteful number, since it uses less digits than its factorization.

96900492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 96900492 is about 9843.8047522287. The cubic root of 96900492 is about 459.3129187983.

The spelling of 96900492 in words is "ninety-six million, nine hundred thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 73 78 127 134 146 156 201 219 254 268 292 381 402 438 508 762 804 871 876 949 1524 1651 1742 1898 2613 2847 3302 3484 3796 4891 4953 5226 5694 6604 8509 9271 9782 9906 10452 11388 14673 17018 18542 19564 19812 25527 27813 29346 34036 37084 51054 55626 58692 63583 102108 110617 111252 120523 127166 190749 221234 241046 254332 331851 361569 381498 442468 482092 621157 663702 723138 762996 1242314 1327404 1446276 1863471 2484628 3726942 7453884 8075041 16150082 24225123 32300164 48450246 96900492