Search a number
-
+
94805424 = 24337107293
BaseRepresentation
bin1011010011010…
…01110110110000
320121101121121000
411221221312300
5143232233144
613224002000
72230555440
oct551516660
9217347530
1094805424
114957379a
1227900300
13168452ac
14c83c120
1584ca769
hex5a69db0

94805424 has 160 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 26742528.

The previous prime is 94805419. The next prime is 94805443. The reversal of 94805424 is 42450849.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323422 + ... + 323714.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 294805424 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 94805424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

94805424 is an abundant number, since it is smaller than the sum of its proper divisors (220174416).

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

94805424 is a wasteful number, since it uses less digits than its factorization.

94805424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 94805424 is about 9736.8076904086. The cubic root of 94805424 is about 455.9785308452.

The spelling of 94805424 in words is "ninety-four million, eight hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 107 108 112 126 144 168 189 214 216 252 293 321 336 378 428 432 504 586 642 749 756 856 879 963 1008 1172 1284 1498 1512 1712 1758 1926 2051 2247 2344 2568 2637 2889 2996 3024 3516 3852 4102 4494 4688 5136 5274 5778 5992 6153 6741 7032 7704 7911 8204 8988 10548 11556 11984 12306 13482 14064 15408 15822 16408 17976 18459 20223 21096 23112 24612 26964 31351 31644 32816 35952 36918 40446 42192 46224 49224 53928 55377 62702 63288 73836 80892 94053 98448 107856 110754 125404 126576 147672 161784 188106 219457 221508 250808 282159 295344 323568 376212 438914 443016 501616 564318 658371 752424 846477 877828 886032 1128636 1316742 1504848 1692954 1755656 1975113 2257272 2633484 3385908 3511312 3950226 4514544 5266968 5925339 6771816 7900452 10533936 11850678 13543632 15800904 23701356 31601808 47402712 94805424