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42948675 = 32527113767
BaseRepresentation
bin1010001111010…
…1100001000011
32222211000111200
42203311201003
541443324200
64132312243
71031025540
oct243654103
988730450
1042948675
1122274a80
1212472683
138b89a23
1459bdbc7
153b85800
hex28f5843

42948675 has 144 divisors (see below), whose sum is σ = 99969792. Its totient is φ = 17107200.

The previous prime is 42948673. The next prime is 42948677. The reversal of 42948675 is 57684924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42948673) and next prime (42948677).

It is not a de Polignac number, because 42948675 - 21 = 42948673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42948675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42948673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 640992 + ... + 641058.

Almost surely, 242948675 is an apocalyptic number.

42948675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42948675 is an abundant number, since it is smaller than the sum of its proper divisors (57021117).

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

42948675 is a wasteful number, since it uses less digits than its factorization.

42948675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42948675 is about 6553.5238612521. The cubic root of 42948675 is about 350.2003614694.

The spelling of 42948675 in words is "forty-two million, nine hundred forty-eight thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 37 45 55 63 67 75 77 99 105 111 165 175 185 201 225 231 259 275 315 333 335 385 407 469 495 525 555 603 693 737 777 825 925 1005 1155 1221 1295 1407 1575 1665 1675 1925 2035 2211 2331 2345 2475 2479 2775 2849 3015 3465 3663 3685 3885 4221 5025 5159 5775 6105 6475 6633 7035 7437 8325 8547 10175 11055 11655 11725 12395 14245 15075 15477 17325 17353 18315 18425 19425 21105 22311 25641 25795 27269 30525 33165 35175 37185 42735 46431 52059 55275 58275 61975 71225 77385 81807 86765 91575 105525 111555 128205 128975 136345 156177 165825 185925 190883 213675 232155 245421 260295 386925 409035 433825 557775 572649 641025 681725 780885 954415 1160775 1227105 1301475 1717947 2045175 2863245 3904425 4772075 6135525 8589735 14316225 42948675