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42744724 = 221129139241
BaseRepresentation
bin1010001100001…
…1101110010100
32222102122201221
42203003232110
541420312344
64124100124
71026216121
oct243035624
988378657
1042744724
1122145820
1212394644
138b17c49
145969748
153b45184
hex28c3b94

42744724 has 48 divisors (see below), whose sum is σ = 85377600. Its totient is φ = 18547200.

The previous prime is 42744721. The next prime is 42744763.

42744724 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×427447242 = 3654222859672352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42744724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42744721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177244 + ... + 177484.

It is an arithmetic number, because the mean of its divisors is an integer number (1778700).

Almost surely, 242744724 is an apocalyptic number.

42744724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42744724 is a deficient number, since it is larger than the sum of its proper divisors (42632876).

42744724 is a wasteful number, since it uses less digits than its factorization.

42744724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its digits is 50176, while the sum is 34.

The square root of 42744724 is about 6537.9449370578. The cubic root of 42744724 is about 349.6451478330.

It can be divided in two parts, 4274 and 4724, that added together give a palindrome (8998).

The spelling of 42744724 in words is "forty-two million, seven hundred forty-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 29 44 58 116 139 241 278 319 482 556 638 964 1276 1529 2651 3058 4031 5302 6116 6989 8062 10604 13978 16124 27956 33499 44341 66998 76879 88682 133996 153758 177364 307516 368489 736978 971471 1473956 1942942 3885884 10686181 21372362 42744724