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42802688 = 29412039
BaseRepresentation
bin1010001101000…
…1111000000000
32222112121020202
42203101320000
541424141223
64125224332
71026550115
oct243217000
988477222
1042802688
1122185325
12124020a8
138b38446
14598290c
153b57428
hex28d1e00

42802688 has 40 divisors (see below), whose sum is σ = 87650640. Its totient is φ = 20869120.

The previous prime is 42802633. The next prime is 42802691. The reversal of 42802688 is 88620824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19973 + ... + 22011.

It is an arithmetic number, because the mean of its divisors is an integer number (2191266).

Almost surely, 242802688 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 42802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43825320).

42802688 is an abundant number, since it is smaller than the sum of its proper divisors (44847952).

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

42802688 is an equidigital number, since it uses as much as digits as its factorization.

42802688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 42802688 is about 6542.3763266874. The cubic root of 42802688 is about 349.8031219282.

The spelling of 42802688 in words is "forty-two million, eight hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2039 2624 4078 5248 8156 10496 16312 20992 32624 65248 83599 130496 167198 260992 334396 521984 668792 1043968 1337584 2675168 5350336 10700672 21401344 42802688