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3994574976 = 27327495359
BaseRepresentation
bin1110111000011000…
…0110000010000000
3101022101111102201100
43232012012002000
531140102344401
61500213334400
7200663220120
oct35606060200
911271442640
103994574976
11176a919337
12935937400
134b8772342
1429c740c80
15185a52b86
hexee186080

3994574976 has 96 divisors (see below), whose sum is σ = 13136947200. Its totient is φ = 1141304832.

The previous prime is 3994574971. The next prime is 3994574981. The reversal of 3994574976 is 6794754993.

3994574976 is a `hidden beast` number, since 3 + 9 + 94 + 57 + 497 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3994574971) and next prime (3994574981).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3994574971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239616 + ... + 255743.

It is an arithmetic number, because the mean of its divisors is an integer number (136843200).

Almost surely, 23994574976 is an apocalyptic number.

3994574976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3994574976 is an abundant number, since it is smaller than the sum of its proper divisors (9142372224).

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

3994574976 is a wasteful number, since it uses less digits than its factorization.

3994574976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495386 (or 495371 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The square root of 3994574976 is about 63202.6500710215. The cubic root of 3994574976 is about 1586.6830865550.

It can be divided in two parts, 39945 and 74976, that added together give a square (114921 = 3392).

The spelling of 3994574976 in words is "three billion, nine hundred ninety-four million, five hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 495359 990718 1486077 1981436 2972154 3467513 3962872 4458231 5944308 6935026 7925744 8916462 10402539 11888616 13870052 15851488 17832924 20805078 23777232 27740104 31207617 31702976 35665848 41610156 47554464 55480208 62415234 63405952 71331696 83220312 95108928 110960416 124830468 142663392 166440624 190217856 221920832 249660936 285326784 332881248 443841664 499321872 570653568 665762496 998643744 1331524992 1997287488 3994574976