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42485472 = 253437443
BaseRepresentation
bin1010001000010…
…0011011100000
32221221111010000
42202010123200
541334013342
64114340000
71024056231
oct242043340
987844100
1042485472
1121a88a67
121228a600
138a56c43
1458dd088
153ae344c
hex28846e0

42485472 has 120 divisors (see below), whose sum is σ = 128615256. Its totient is φ = 13747968.

The previous prime is 42485411. The next prime is 42485473. The reversal of 42485472 is 27458424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42485473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95683 + ... + 96125.

Almost surely, 242485472 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 42485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64307628).

42485472 is an abundant number, since it is smaller than the sum of its proper divisors (86129784).

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

42485472 is a wasteful number, since it uses less digits than its factorization.

42485472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42485472 is about 6518.0880632284. The cubic root of 42485472 is about 348.9368336405.

The spelling of 42485472 in words is "forty-two million, four hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 443 444 592 648 666 864 886 888 999 1184 1296 1329 1332 1772 1776 1998 2592 2658 2664 2997 3544 3552 3987 3996 5316 5328 5994 7088 7974 7992 10632 10656 11961 11988 14176 15948 15984 16391 21264 23922 23976 31896 31968 32782 35883 42528 47844 47952 49173 63792 65564 71766 95688 95904 98346 127584 131128 143532 147519 191376 196692 262256 287064 295038 382752 393384 442557 524512 574128 590076 786768 885114 1148256 1180152 1327671 1573536 1770228 2360304 2655342 3540456 4720608 5310684 7080912 10621368 14161824 21242736 42485472