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71842428 = 223272139293
BaseRepresentation
bin1000100100000…
…11101001111100
312000011222021200
410102003221330
5121342424203
611043455500
71531436100
oct422035174
9160158250
1071842428
113760a309
1220087590
1311b65318
149781900
1564919a3
hex4483a7c

71842428 has 108 divisors (see below), whose sum is σ = 213496920. Its totient is φ = 20309184.

The previous prime is 71842423. The next prime is 71842451. The reversal of 71842428 is 82424817.

It is a super-2 number, since 2×718424282 = 10322668921870368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 71842392 and 71842401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71842423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245050 + ... + 245342.

Almost surely, 271842428 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 71842428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106748460).

71842428 is an abundant number, since it is smaller than the sum of its proper divisors (141654492).

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

71842428 is a wasteful number, since it uses less digits than its factorization.

71842428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 71842428 is about 8475.9912694622. The cubic root of 71842428 is about 415.7130587193.

The spelling of 71842428 in words is "seventy-one million, eight hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 139 147 196 252 278 293 294 417 441 556 586 588 834 879 882 973 1172 1251 1668 1758 1764 1946 2051 2502 2637 2919 3516 3892 4102 5004 5274 5838 6153 6811 8204 8757 10548 11676 12306 13622 14357 17514 18459 20433 24612 27244 28714 35028 36918 40727 40866 43071 57428 61299 73836 81454 81732 86142 122181 122598 129213 162908 172284 244362 245196 258426 285089 366543 488724 516852 570178 733086 855267 1140356 1466172 1710534 1995623 2565801 3421068 3991246 5131602 5986869 7982492 10263204 11973738 17960607 23947476 35921214 71842428