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42029152 = 2511139859
BaseRepresentation
bin1010000001010…
…1000001100000
32221002022011021
42200111001200
541224413102
64100455224
71020145654
oct240250140
987068137
1042029152
11217a7140
12120aa514
138927329
145820a64
153a53137
hex2815060

42029152 has 48 divisors (see below), whose sum is σ = 91022400. Its totient is φ = 18944640.

The previous prime is 42029137. The next prime is 42029153. The reversal of 42029152 is 25192024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42029153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48499 + ... + 49357.

It is an arithmetic number, because the mean of its divisors is an integer number (1896300).

Almost surely, 242029152 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 42029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45511200).

42029152 is an abundant number, since it is smaller than the sum of its proper divisors (48993248).

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

42029152 is a wasteful number, since it uses less digits than its factorization.

42029152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 42029152 is about 6482.9894338954. The cubic root of 42029152 is about 347.6830690068.

The spelling of 42029152 in words is "forty-two million, twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 859 1112 1529 1718 2224 3058 3436 4448 6116 6872 9449 12232 13744 18898 24464 27488 37796 48928 75592 119401 151184 238802 302368 477604 955208 1313411 1910416 2626822 3820832 5253644 10507288 21014576 42029152