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42180152 = 23719291367
BaseRepresentation
bin1010000011100…
…1111000111000
32221100222021212
42200321320320
541244231102
64104022252
71021345130
oct240717070
987328255
1042180152
112189a633
1212161988
13897ac91
14585dac0
153a82c52
hex2839e38

42180152 has 64 divisors (see below), whose sum is σ = 98496000. Its totient is φ = 16523136.

The previous prime is 42180143. The next prime is 42180161. The reversal of 42180152 is 25108124.

It is an interprime number because it is at equal distance from previous prime (42180143) and next prime (42180161).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30173 + ... + 31539.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 242180152 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 42180152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248000).

42180152 is an abundant number, since it is smaller than the sum of its proper divisors (56315848).

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

42180152 is a wasteful number, since it uses less digits than its factorization.

42180152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 42180152 is about 6494.6248544469. The cubic root of 42180152 is about 348.0989501505.

Adding to 42180152 its reverse (25108124), we get a palindrome (67288276).

The spelling of 42180152 in words is "forty-two million, one hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1064 1102 1367 1624 2204 2734 3857 4408 5468 7714 9569 10936 15428 19138 25973 30856 38276 39643 51946 76552 79286 103892 158572 181811 207784 277501 317144 363622 555002 727244 753217 1110004 1454488 1506434 2220008 3012868 5272519 6025736 10545038 21090076 42180152