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427550016 = 26329312477
BaseRepresentation
bin11001011110111…
…110010101000000
31002210111210100210
4121132332111000
51333423100031
6110231514120
713411054335
oct3136762500
91083453323
10427550016
111aa382723
12bb228940
136a76939a
1440ad698c
1527806746
hex197be540

427550016 has 112 divisors (see below), whose sum is σ = 1208471040. Its totient is φ = 133109760.

The previous prime is 427549963. The next prime is 427550021. The reversal of 427550016 is 610055724.

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, 171370 + ... + 173846.

It is an arithmetic number, because the mean of its divisors is an integer number (10789920).

Almost surely, 2427550016 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 427550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604235520).

427550016 is an abundant number, since it is smaller than the sum of its proper divisors (780921024).

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

427550016 is a wasteful number, since it uses less digits than its factorization.

427550016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 427550016 is about 20677.2826067644. The cubic root of 427550016 is about 753.3480046916.

The spelling of 427550016 in words is "four hundred twenty-seven million, five hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2477 2697 2784 2976 3596 4954 5394 5568 5952 7192 7431 9908 10788 14384 14862 19816 21576 28768 29724 39632 43152 57536 59448 71833 76787 79264 86304 118896 143666 153574 158528 172608 215499 230361 237792 287332 307148 430998 460722 475584 574664 614296 861996 921444 1149328 1228592 1723992 1842888 2226823 2298656 2457184 3447984 3685776 4453646 4597312 4914368 6680469 6895968 7371552 8907292 13360938 13791936 14743104 17814584 26721876 35629168 53443752 71258336 106887504 142516672 213775008 427550016