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94042476 = 2232111929431
BaseRepresentation
bin1011001101011…
…11100101101100
320112221212000200
411212233211230
5143033324401
613155353500
72221230213
oct546574554
9215855020
1094042476
11490a2560
12275b2890
1316638c48
14c6c007a
1583c9686
hex59af96c

94042476 has 144 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 26006400.

The previous prime is 94042463. The next prime is 94042513. The reversal of 94042476 is 67424049.

94042476 is a `hidden beast` number, since 9 + 404 + 247 + 6 = 666.

It is a super-4 number, since 4×940424764 (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 94042476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217981 + ... + 218411.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 294042476 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 94042476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

94042476 is an abundant number, since it is smaller than the sum of its proper divisors (189003924).

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

94042476 is a wasteful number, since it uses less digits than its factorization.

94042476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 94042476 is about 9697.5499998711. The cubic root of 94042476 is about 454.7520703778.

The spelling of 94042476 in words is "ninety-four million, forty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 29 33 36 38 44 57 58 66 76 87 99 114 116 132 171 174 198 209 228 261 319 342 348 396 418 431 522 551 627 638 684 836 862 957 1044 1102 1254 1276 1293 1653 1724 1881 1914 2204 2508 2586 2871 3306 3762 3828 3879 4741 4959 5172 5742 6061 6612 7524 7758 8189 9482 9918 11484 12122 12499 14223 15516 16378 18183 18964 19836 24244 24567 24998 28446 32756 36366 37497 42669 49134 49996 54549 56892 72732 73701 74994 85338 90079 98268 109098 112491 137489 147402 149988 170676 180158 218196 224982 237481 270237 274978 294804 360316 412467 449964 474962 540474 549956 712443 810711 824934 949924 1080948 1237401 1424886 1621422 1649868 2137329 2474802 2612291 2849772 3242844 4274658 4949604 5224582 7836873 8549316 10449164 15673746 23510619 31347492 47021238 94042476