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42745152 = 2631271753
BaseRepresentation
bin1010001100001…
…1110101000000
32222102200022210
42203003311000
541420321102
64124102120
71026220302
oct243036500
988380283
1042745152
112214607a
1212394940
138b181b8
145969972
153b4536c
hex28c3d40

42745152 has 56 divisors (see below), whose sum is σ = 114052096. Its totient is φ = 14128128.

The previous prime is 42745151. The next prime is 42745163. The reversal of 42745152 is 25154724.

42745152 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42745151) 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, 23508 + ... + 25260.

Almost surely, 242745152 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 42745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57026048).

42745152 is an abundant number, since it is smaller than the sum of its proper divisors (71306944).

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

42745152 is a wasteful number, since it uses less digits than its factorization.

42745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1885 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 42745152 is about 6537.9776689738. The cubic root of 42745152 is about 349.6463148201.

Adding to 42745152 its reverse (25154724), we get a palindrome (67899876).

The spelling of 42745152 in words is "forty-two million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 1753 2032 3048 3506 4064 5259 6096 7012 8128 10518 12192 14024 21036 24384 28048 42072 56096 84144 112192 168288 222631 336576 445262 667893 890524 1335786 1781048 2671572 3562096 5343144 7124192 10686288 14248384 21372576 42745152