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96816804 = 223747137179
BaseRepresentation
bin1011100010101…
…00111010100100
320202011210200120
411301110322210
5144241114204
613335041540
72253633510
oct561247244
9222153616
1096816804
114a717997
12285102b0
131709a966
14cc03140
1587766d9
hex5c54ea4

96816804 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 26725632.

The previous prime is 96816803. The next prime is 96816833. The reversal of 96816804 is 40861869.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (96816803) 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, 540787 + ... + 540965.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 296816804 is an apocalyptic number.

96816804 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96816804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

96816804 is an abundant number, since it is smaller than the sum of its proper divisors (170262876).

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

96816804 is a wasteful number, since it uses less digits than its factorization.

96816804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 96816804 is about 9839.5530386293. The cubic root of 96816804 is about 459.1806523533.

The spelling of 96816804 in words is "ninety-six million, eight hundred sixteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 137 141 179 188 274 282 329 358 411 537 548 564 658 716 822 959 987 1074 1253 1316 1644 1918 1974 2148 2506 2877 3759 3836 3948 5012 5754 6439 7518 8413 11508 12878 15036 16826 19317 24523 25239 25756 33652 38634 45073 49046 50478 58891 73569 77268 90146 98092 100956 117782 135219 147138 171661 176673 180292 235564 270438 294276 343322 353346 514983 540876 686644 706692 1029966 1152581 2059932 2305162 3457743 4610324 6915486 8068067 13830972 16136134 24204201 32272268 48408402 96816804