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71442216 = 23331132927
BaseRepresentation
bin1000100001000…
…01111100101000
311222102122022000
410100201330220
5121242122331
611031131000
71525151226
oct420417450
9158378260
1071442216
113736665a
121bb13a60
1311a55101
1496b9b16
1564130e6
hex4421f28

71442216 has 64 divisors (see below), whose sum is σ = 200275200. Its totient is φ = 23595264.

The previous prime is 71442193. The next prime is 71442229. The reversal of 71442216 is 61224417.

71442216 is a `hidden beast` number, since 7 + 1 + 442 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71442216.

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, 22945 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (3129300).

Almost surely, 271442216 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 71442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100137600).

71442216 is an abundant number, since it is smaller than the sum of its proper divisors (128832984).

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

71442216 is a wasteful number, since it uses less digits than its factorization.

71442216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3045 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 71442216 is about 8452.3497324708. The cubic root of 71442216 is about 414.9396844650.

The spelling of 71442216 in words is "seventy-one million, four hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 2927 3051 4068 5854 6102 8136 8781 11708 12204 17562 23416 24408 26343 35124 52686 70248 79029 105372 158058 210744 316116 330751 632232 661502 992253 1323004 1984506 2646008 2976759 3969012 5953518 7938024 8930277 11907036 17860554 23814072 35721108 71442216