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42019648 = 2611173511
BaseRepresentation
bin1010000001001…
…0101101000000
32221001211010021
42200102231000
541224112043
64100343224
71020106156
oct240225500
987054107
1042019648
112179aa90
12120a4b14
138922bc8
14581b3d6
153a503ed
hex2812b40

42019648 has 56 divisors (see below), whose sum is σ = 96341184. Its totient is φ = 17971200.

The previous prime is 42019613. The next prime is 42019651. The reversal of 42019648 is 84691024.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10213 + ... + 13723.

Almost surely, 242019648 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 42019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48170592).

42019648 is an abundant number, since it is smaller than the sum of its proper divisors (54321536).

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

42019648 is a wasteful number, since it uses less digits than its factorization.

42019648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 42019648 is about 6482.2563972740. The cubic root of 42019648 is about 347.6568599841.

The spelling of 42019648 in words is "forty-two million, nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 3511 5984 7022 11968 14044 28088 38621 56176 59687 77242 112352 119374 154484 224704 238748 308968 477496 617936 656557 954992 1235872 1313114 1909984 2471744 2626228 3819968 5252456 10504912 21009824 42019648