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74042080 = 255766109
BaseRepresentation
bin1000110100111…
…00101011100000
312011022201122021
410122130223200
5122423321310
611202551224
71556230060
oct432345340
9164281567
1074042080
1138881a02
1220968514
13124555a8
149b953a0
1567785da
hex469cae0

74042080 has 48 divisors (see below), whose sum is σ = 199916640. Its totient is φ = 25385472.

The previous prime is 74042077. The next prime is 74042081. The reversal of 74042080 is 8024047.

It is a super-2 number, since 2×740420802 = 10964459221452800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74042081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31935 + ... + 34174.

It is an arithmetic number, because the mean of its divisors is an integer number (4164930).

Almost surely, 274042080 is an apocalyptic number.

74042080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74042080 is an abundant number, since it is smaller than the sum of its proper divisors (125874560).

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

74042080 is a wasteful number, since it uses less digits than its factorization.

74042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66131 (or 66123 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 74042080 is about 8604.7707697533. The cubic root of 74042080 is about 419.9132095798.

The spelling of 74042080 in words is "seventy-four million, forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 66109 132218 264436 330545 462763 528872 661090 925526 1057744 1322180 1851052 2115488 2313815 2644360 3702104 4627630 5288720 7404208 9255260 10577440 14808416 18510520 37021040 74042080