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42149808 = 243537293
BaseRepresentation
bin1010000011001…
…0011110110000
32221022102200000
42200302132300
541242243213
64103230000
71021160511
oct240623660
987272600
1042149808
1121879858
1212148300
13896a21c
145852a08
153a78c73
hex28327b0

42149808 has 120 divisors (see below), whose sum is σ = 126064848. Its totient is φ = 13623552.

The previous prime is 42149803. The next prime is 42149819. The reversal of 42149808 is 80894124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42149803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143710 + ... + 144002.

Almost surely, 242149808 is an apocalyptic number.

42149808 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 42149808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63032424).

42149808 is an abundant number, since it is smaller than the sum of its proper divisors (83915040).

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

42149808 is a wasteful number, since it uses less digits than its factorization.

42149808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42149808 is about 6492.2883484947. The cubic root of 42149808 is about 348.0154571018.

The spelling of 42149808 in words is "forty-two million, one hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 293 296 324 333 432 444 486 586 592 648 666 879 888 972 999 1172 1296 1332 1758 1776 1944 1998 2344 2637 2664 2997 3516 3888 3996 4688 5274 5328 5994 7032 7911 7992 8991 10548 10841 11988 14064 15822 15984 17982 21096 21682 23733 23976 31644 32523 35964 42192 43364 47466 47952 63288 65046 71199 71928 86728 94932 97569 126576 130092 142398 143856 173456 189864 195138 260184 284796 292707 379728 390276 520368 569592 585414 780552 878121 1139184 1170828 1561104 1756242 2341656 2634363 3512484 4683312 5268726 7024968 10537452 14049936 21074904 42149808