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42179088 = 2437196607
BaseRepresentation
bin1010000011100…
…1101000010000
32221100220211110
42200321220100
541244212323
64104013320
71021342050
oct240715020
987326743
1042179088
1121899856
1212161240
13897a653
14585d560
153a82793
hex2839a10

42179088 has 80 divisors (see below), whose sum is σ = 131102720. Its totient is φ = 11415168.

The previous prime is 42179083. The next prime is 42179089. The reversal of 42179088 is 88097124.

It is not an unprimeable number, because it can be changed into a prime (42179083) 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, 3081 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (1638784).

Almost surely, 242179088 is an apocalyptic number.

42179088 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 42179088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65551360).

42179088 is an abundant number, since it is smaller than the sum of its proper divisors (88923632).

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

42179088 is a wasteful number, since it uses less digits than its factorization.

42179088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 42179088 is about 6494.5429400382. The cubic root of 42179088 is about 348.0960231783.

The spelling of 42179088 in words is "forty-two million, one hundred seventy-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 6607 13214 19821 26428 39642 46249 52856 79284 92498 105712 125533 138747 158568 184996 251066 277494 317136 369992 376599 502132 554988 739984 753198 878731 1004264 1109976 1506396 1757462 2008528 2219952 2636193 3012792 3514924 5272386 6025584 7029848 10544772 14059696 21089544 42179088