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42152736 = 2532112081
BaseRepresentation
bin1010000011001…
…1001100100000
32221022120200110
42200303030200
541242341421
64103251320
71021202163
oct240631440
987276613
1042152736
1121880a7a
1212149b40
13896b662
145853ada
153a79a76
hex2833320

42152736 has 48 divisors (see below), whose sum is σ = 111228768. Its totient is φ = 13977600.

The previous prime is 42152713. The next prime is 42152743. The reversal of 42152736 is 63725124.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19216 + ... + 21296.

It is an arithmetic number, because the mean of its divisors is an integer number (2317266).

Almost surely, 242152736 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 42152736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55614384).

42152736 is an abundant number, since it is smaller than the sum of its proper divisors (69076032).

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

42152736 is a wasteful number, since it uses less digits than its factorization.

42152736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2297 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 42152736 is about 6492.5138428809. The cubic root of 42152736 is about 348.0235153881.

The spelling of 42152736 in words is "forty-two million, one hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2081 2532 3376 4162 5064 6243 6752 8324 10128 12486 16648 20256 24972 33296 49944 66592 99888 199776 439091 878182 1317273 1756364 2634546 3512728 5269092 7025456 10538184 14050912 21076368 42152736