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42514956 = 22341179151
BaseRepresentation
bin1010001000101…
…1101000001100
32221222222120000
42202023220030
541340434311
64115124300
71024241211
oct242135014
987888500
1042514956
1121aa9130
12122a3690
138a674a3
145909b08
153aec056
hex288ba0c

42514956 has 120 divisors (see below), whose sum is σ = 123594240. Its totient is φ = 12636000.

The previous prime is 42514939. The next prime is 42514973. The reversal of 42514956 is 65941524.

It is an interprime number because it is at equal distance from previous prime (42514939) and next prime (42514973).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42514956.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281481 + ... + 281631.

It is an arithmetic number, because the mean of its divisors is an integer number (1029952).

Almost surely, 242514956 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 42514956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61797120).

42514956 is an abundant number, since it is smaller than the sum of its proper divisors (81079284).

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

42514956 is a wasteful number, since it uses less digits than its factorization.

42514956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 42514956 is about 6520.3493771423. The cubic root of 42514956 is about 349.0175331843.

The spelling of 42514956 in words is "forty-two million, five hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 81 99 108 132 151 158 162 198 237 297 302 316 324 396 453 474 594 604 711 869 891 906 948 1188 1359 1422 1661 1738 1782 1812 2133 2607 2718 2844 3322 3476 3564 4077 4266 4983 5214 5436 6399 6644 7821 8154 8532 9966 10428 11929 12231 12798 14949 15642 16308 19932 23463 23858 24462 25596 29898 31284 35787 44847 46926 47716 48924 59796 70389 71574 89694 93852 107361 131219 134541 140778 143148 179388 214722 262438 269082 281556 322083 393657 429444 524876 538164 644166 787314 966249 1180971 1288332 1574628 1932498 2361942 3542913 3864996 4723884 7085826 10628739 14171652 21257478 42514956