Search a number
-
+
99796816 = 24719232039
BaseRepresentation
bin1011111001011…
…00011101010000
320221210012111101
411330230131100
5201021444231
613522554144
72321154550
oct574543520
9227705441
1099796816
1151372909
1229508954
13178a2192
14d37b160
158b64661
hex5f2c750

99796816 has 80 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 38738304.

The previous prime is 99796811. The next prime is 99796841. The reversal of 99796816 is 61869799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99796811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47925 + ... + 49963.

It is an arithmetic number, because the mean of its divisors is an integer number (3035520).

Almost surely, 299796816 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 99796816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

99796816 is an abundant number, since it is smaller than the sum of its proper divisors (143044784).

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

99796816 is a wasteful number, since it uses less digits than its factorization.

99796816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 55.

The square root of 99796816 is about 9989.8356342835. The cubic root of 99796816 is about 463.8443046786.

The spelling of 99796816 in words is "ninety-nine million, seven hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1064 1288 1748 2039 2128 2576 3059 3496 4078 6118 6992 8156 12236 14273 16312 24472 28546 32624 38741 46897 48944 57092 77482 93794 114184 154964 187588 228368 271187 309928 328279 375176 542374 619856 656558 750352 891043 1084748 1313116 1782086 2169496 2626232 3564172 4338992 5252464 6237301 7128344 12474602 14256688 24949204 49898408 99796816