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42473484 = 2235371181
BaseRepresentation
bin1010001000000…
…1100000001100
32221220212200000
42202001200030
541333122414
64114204300
71024006254
oct242014014
987825600
1042473484
1121a7aa59
1212283690
138a51651
1458d8964
153adeb09
hex288180c

42473484 has 72 divisors (see below), whose sum is σ = 114445968. Its totient is φ = 13763520.

The previous prime is 42473471. The next prime is 42473491. The reversal of 42473484 is 48437424.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35374 + ... + 36554.

Almost surely, 242473484 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 42473484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57222984).

42473484 is an abundant number, since it is smaller than the sum of its proper divisors (71972484).

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

42473484 is a wasteful number, since it uses less digits than its factorization.

42473484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1223 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 42473484 is about 6517.1684035323. The cubic root of 42473484 is about 348.9040110616.

The spelling of 42473484 in words is "forty-two million, four hundred seventy-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1181 1332 1998 2362 2997 3543 3996 4724 5994 7086 8991 10629 11988 14172 17982 21258 31887 35964 42516 43697 63774 87394 95661 127548 131091 174788 191322 262182 286983 382644 393273 524364 573966 786546 1147932 1179819 1573092 2359638 3539457 4719276 7078914 10618371 14157828 21236742 42473484