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42419376 = 243471461
BaseRepresentation
bin1010000111010…
…0010010110000
32221211010110000
42201310102300
541324410001
64113110000
71023362436
oct241642260
987733400
1042419376
1121a4333a
1212258300
138a32b2c
1458c2d56
153acda86
hex28744b0

42419376 has 100 divisors (see below), whose sum is σ = 124773264. Its totient is φ = 13910400.

The previous prime is 42419357. The next prime is 42419413. The reversal of 42419376 is 67391424.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42419376.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91786 + ... + 92246.

Almost surely, 242419376 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 42419376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62386632).

42419376 is an abundant number, since it is smaller than the sum of its proper divisors (82353888).

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

42419376 is a wasteful number, since it uses less digits than its factorization.

42419376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 42419376 is about 6513.0158912749. The cubic root of 42419376 is about 348.7557890125.

The spelling of 42419376 in words is "forty-two million, four hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 461 568 639 648 852 922 1136 1278 1296 1383 1704 1844 1917 2556 2766 3408 3688 3834 4149 5112 5532 5751 7376 7668 8298 10224 11064 11502 12447 15336 16596 22128 23004 24894 30672 32731 33192 37341 46008 49788 65462 66384 74682 92016 98193 99576 130924 149364 196386 199152 261848 294579 298728 392772 523696 589158 597456 785544 883737 1178316 1571088 1767474 2356632 2651211 3534948 4713264 5302422 7069896 10604844 14139792 21209688 42419376