Search a number
-
+
94523904 = 293273281
BaseRepresentation
bin1011010001001…
…01001000000000
320120212022102100
411220211020000
5143144231104
613213550400
72225303616
oct550451000
9216768370
1094523904
11493a1232
12277a5400
1316777107
14c7a76b6
158472139
hex5a25200

94523904 has 120 divisors (see below), whose sum is σ = 277523532. Its totient is φ = 30965760.

The previous prime is 94523887. The next prime is 94523921. The reversal of 94523904 is 40932549.

It is an interprime number because it is at equal distance from previous prime (94523887) and next prime (94523921).

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 1440000 = 9648^2 + 1200^2 .

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 11 ways as a sum of consecutive naturals, for example, 336244 + ... + 336524.

Almost surely, 294523904 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 94523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138761766).

94523904 is an abundant number, since it is smaller than the sum of its proper divisors (182999628).

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

94523904 is a wasteful number, since it uses less digits than its factorization.

94523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 94523904 is about 9722.3404589636. The cubic root of 94523904 is about 455.5267481641.

The spelling of 94523904 in words is "ninety-four million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 281 288 292 384 438 512 562 576 584 657 768 843 876 1124 1152 1168 1314 1536 1686 1752 2248 2304 2336 2529 2628 3372 3504 4496 4608 4672 5058 5256 6744 7008 8992 9344 10116 10512 13488 14016 17984 18688 20232 20513 21024 26976 28032 35968 37376 40464 41026 42048 53952 56064 61539 71936 80928 82052 84096 107904 112128 123078 143872 161856 164104 168192 184617 215808 246156 323712 328208 336384 369234 431616 492312 647424 656416 738468 984624 1294848 1312832 1476936 1969248 2625664 2953872 3938496 5251328 5907744 7876992 10502656 11815488 15753984 23630976 31507968 47261952 94523904