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42997104 = 2432476353
BaseRepresentation
bin1010010000000…
…1010101110000
32222220110221100
42210001111300
542001401404
64133324400
71031316663
oct244012560
988813840
1042997104
11222a83a7
1212496700
138ba5a97
1459d36da
153b94d39
hex2901570

42997104 has 60 divisors (see below), whose sum is σ = 122911776. Its totient is φ = 14025216.

The previous prime is 42997091. The next prime is 42997127. The reversal of 42997104 is 40179924.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3592 + ... + 9944.

Almost surely, 242997104 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 42997104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61455888).

42997104 is an abundant number, since it is smaller than the sum of its proper divisors (79914672).

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

42997104 is a wasteful number, since it uses less digits than its factorization.

42997104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42997104 is about 6557.2177026541. The cubic root of 42997104 is about 350.3319408692.

The spelling of 42997104 in words is "forty-two million, nine hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6353 6768 12706 19059 25412 38118 50824 57177 76236 101648 114354 152472 228708 298591 304944 457416 597182 895773 914832 1194364 1791546 2388728 2687319 3583092 4777456 5374638 7166184 10749276 14332368 21498552 42997104