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42061248 = 2633101241
BaseRepresentation
bin1010000001110…
…0110111000000
32221010221012000
42200130313000
541231424443
64101304000
71020341355
oct240346700
987127160
1042061248
1121819269
1212105000
138938b18
14582c62c
153a5c8d3
hex281cdc0

42061248 has 112 divisors (see below), whose sum is σ = 125394720. Its totient is φ = 13824000.

The previous prime is 42061219. The next prime is 42061297. The reversal of 42061248 is 84216024.

42061248 is a `hidden beast` number, since 4 + 2 + 0 + 612 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 174408 + ... + 174648.

Almost surely, 242061248 is an apocalyptic number.

42061248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62697360).

42061248 is an abundant number, since it is smaller than the sum of its proper divisors (83333472).

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

42061248 is a wasteful number, since it uses less digits than its factorization.

42061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42061248 is about 6485.4643627114. The cubic root of 42061248 is about 347.7715504205.

The spelling of 42061248 in words is "forty-two million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 241 288 303 404 432 482 576 606 723 808 864 909 964 1212 1446 1616 1728 1818 1928 2169 2424 2727 2892 3232 3636 3856 4338 4848 5454 5784 6464 6507 7272 7712 8676 9696 10908 11568 13014 14544 15424 17352 19392 21816 23136 24341 26028 29088 34704 43632 46272 48682 52056 58176 69408 73023 87264 97364 104112 138816 146046 174528 194728 208224 219069 292092 389456 416448 438138 584184 657207 778912 876276 1168368 1314414 1557824 1752552 2336736 2628828 3505104 4673472 5257656 7010208 10515312 14020416 21030624 42061248