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42403816 = 23721353157
BaseRepresentation
bin1010000111000…
…0011111101000
32221210100002201
42201300133220
541323410231
64112505544
71023266200
oct241603750
987710081
1042403816
1121a32684
121224b2b4
138a28a20
1458bb400
153ac9161
hex28707e8

42403816 has 96 divisors (see below), whose sum is σ = 102128040. Its totient is φ = 16353792.

The previous prime is 42403807. The next prime is 42403817. The reversal of 42403816 is 61830424.

It can be written as a sum of positive squares in 4 ways, for example, as 29658916 + 12744900 = 5446^2 + 3570^2 .

It is a super-2 number, since 2×424038162 = 3596167222723712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

42403816 is a modest number, since divided by 3816 gives 424 as remainder.

It is not an unprimeable number, because it can be changed into a prime (42403817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270010 + ... + 270166.

Almost surely, 242403816 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 42403816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51064020).

42403816 is an abundant number, since it is smaller than the sum of its proper divisors (59724224).

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

42403816 is a wasteful number, since it uses less digits than its factorization.

42403816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 42403816 is about 6511.8212506180. The cubic root of 42403816 is about 348.7131410196.

The spelling of 42403816 in words is "forty-two million, four hundred three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 157 182 196 212 314 364 371 392 424 628 637 689 728 742 1099 1256 1274 1378 1484 2041 2198 2548 2597 2756 2968 4082 4396 4823 5096 5194 5512 7693 8164 8321 8792 9646 10388 14287 15386 16328 16642 19292 20776 28574 30772 33284 33761 38584 57148 58247 61544 66568 67522 100009 108173 114296 116494 135044 200018 216346 232988 270088 400036 407729 432692 465976 757211 800072 815458 865384 1514422 1630916 3028844 3261832 5300477 6057688 10600954 21201908 42403816