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42981372 = 223271779127
BaseRepresentation
bin1010001111110…
…1011111111100
32222212200100200
42203331133330
542000400442
64133123500
71031223060
oct243753774
988780320
1042981372
11222975a5
1212489590
138b9b885
1459cbaa0
153b9034c
hex28fd7fc

42981372 has 144 divisors (see below), whose sum is σ = 134184960. Its totient is φ = 11321856.

The previous prime is 42981353. The next prime is 42981373. The reversal of 42981372 is 27318924.

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 (42981373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338373 + ... + 338499.

It is an arithmetic number, because the mean of its divisors is an integer number (931840).

Almost surely, 242981372 is an apocalyptic number.

42981372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42981372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67092480).

42981372 is an abundant number, since it is smaller than the sum of its proper divisors (91203588).

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

42981372 is a wasteful number, since it uses less digits than its factorization.

42981372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42981372 is about 6556.0179987550. The cubic root of 42981372 is about 350.2892085772.

The spelling of 42981372 in words is "forty-two million, nine hundred eighty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 79 84 102 119 126 127 153 158 204 237 238 252 254 306 316 357 381 474 476 508 553 612 711 714 762 889 948 1071 1106 1143 1343 1422 1428 1524 1659 1778 2142 2159 2212 2286 2667 2686 2844 3318 3556 4029 4284 4318 4572 4977 5334 5372 6477 6636 8001 8058 8636 9401 9954 10033 10668 12087 12954 15113 16002 16116 18802 19431 19908 20066 24174 25908 28203 30099 30226 32004 37604 38862 40132 45339 48348 56406 60198 60452 70231 77724 84609 90297 90678 112812 120396 136017 140462 169218 170561 180594 181356 210693 272034 280924 338436 341122 361188 421386 511683 544068 632079 682244 842772 1023366 1193927 1264158 1535049 2046732 2387854 2528316 3070098 3581781 4775708 6140196 7163562 10745343 14327124 21490686 42981372