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42148392 = 233111312281
BaseRepresentation
bin1010000011001…
…0001000101000
32221022100201120
42200302020220
541242222032
64103215240
71021153416
oct240621050
987270646
1042148392
1121878790
1212147520
1389696a0
1458522b6
153a7862c
hex2832228

42148392 has 64 divisors (see below), whose sum is σ = 123802560. Its totient is φ = 11788800.

The previous prime is 42148391. The next prime is 42148429. The reversal of 42148392 is 29384124.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42148391) 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, 2709 + ... + 9572.

It is an arithmetic number, because the mean of its divisors is an integer number (1934415).

Almost surely, 242148392 is an apocalyptic number.

It is an amenable number.

42148392 is an abundant number, since it is smaller than the sum of its proper divisors (81654168).

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

42148392 is a wasteful number, since it uses less digits than its factorization.

42148392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12314 (or 12310 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 42148392 is about 6492.1792951212. The cubic root of 42148392 is about 348.0115599278.

The spelling of 42148392 in words is "forty-two million, one hundred forty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 12281 24562 36843 49124 73686 98248 135091 147372 159653 270182 294744 319306 405273 478959 540364 638612 810546 957918 1080728 1277224 1621092 1756183 1915836 3242184 3512366 3831672 5268549 7024732 10537098 14049464 21074196 42148392