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42800688 = 2432742461
BaseRepresentation
bin1010001101000…
…1011000110000
32222112111111200
42203101120300
541424110223
64125211200
71026541230
oct243213060
988474450
1042800688
1122183877
1212400b00
138b37568
145981cc0
153b56a43
hex28d1630

42800688 has 60 divisors (see below), whose sum is σ = 136897488. Its totient is φ = 12228480.

The previous prime is 42800687. The next prime is 42800701. The reversal of 42800688 is 88600824.

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 (42800683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20223 + ... + 22238.

Almost surely, 242800688 is an apocalyptic number.

42800688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42800688 is an abundant number, since it is smaller than the sum of its proper divisors (94096800).

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

42800688 is a wasteful number, since it uses less digits than its factorization.

42800688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42482 (or 42473 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42800688 is about 6542.2234752414. The cubic root of 42800688 is about 349.7976735387.

The spelling of 42800688 in words is "forty-two million, eight hundred thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 42461 84922 127383 169844 254766 297227 339688 382149 509532 594454 679376 764298 891681 1019064 1188908 1528596 1783362 2038128 2377816 2675043 3057192 3566724 4755632 5350086 6114384 7133448 10700172 14266896 21400344 42800688