Search a number
-
+
96746848 = 25111911439
BaseRepresentation
bin1011100010000…
…11110101100000
320202001020201121
411301003311200
5144231344343
613333342024
72253222532
oct561036540
9222036647
1096746848
114a67a380
1228497914
1317074b73
14cbc5852
158760aed
hex5c43d60

96746848 has 48 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 43715200.

The previous prime is 96746831. The next prime is 96746851. The reversal of 96746848 is 84864769.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96746795 and 96746804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66513 + ... + 67951.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 296746848 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 96746848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

96746848 is an abundant number, since it is smaller than the sum of its proper divisors (112272032).

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

96746848 is a wasteful number, since it uses less digits than its factorization.

96746848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1643 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 96746848 is about 9835.9975599834. The cubic root of 96746848 is about 459.0700304354.

The spelling of 96746848 in words is "ninety-six million, seven hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 191 352 382 764 1439 1528 2101 2878 3056 4202 5756 6112 8404 11512 15829 16808 23024 31658 33616 46048 63316 67232 126632 253264 274849 506528 549698 1099396 2198792 3023339 4397584 6046678 8795168 12093356 24186712 48373424 96746848