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42195216 = 2437314051
BaseRepresentation
bin1010000011110…
…1100100010000
32221101201221210
42200331210100
541300221331
64104220120
71021440060
oct240754420
987351853
1042195216
11218aa988
121216a640
138984aab
1458653a0
153a87446
hex283d910

42195216 has 80 divisors (see below), whose sum is σ = 128626688. Its totient is φ = 11664000.

The previous prime is 42195199. The next prime is 42195221. The reversal of 42195216 is 61259124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8391 + ... + 12441.

Almost surely, 242195216 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 42195216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64313344).

42195216 is an abundant number, since it is smaller than the sum of its proper divisors (86431472).

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

42195216 is a wasteful number, since it uses less digits than its factorization.

42195216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4094 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 42195216 is about 6495.7844791834. The cubic root of 42195216 is about 348.1403846343.

The spelling of 42195216 in words is "forty-two million, one hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 4051 5208 8102 10416 12153 16204 24306 28357 32408 48612 56714 64816 85071 97224 113428 125581 170142 194448 226856 251162 340284 376743 453712 502324 680568 753486 879067 1004648 1361136 1506972 1758134 2009296 2637201 3013944 3516268 5274402 6027888 7032536 10548804 14065072 21097608 42195216