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427367952 = 243211614423
BaseRepresentation
bin11001011110010…
…001111000010000
31002210011112121200
4121132101320100
51333401233302
6110223551200
713406365464
oct3136217020
91083145550
10427367952
111aa268960
12bb15b500
136a70455b
1440a8a4a4
15277bc81c
hex19791e10

427367952 has 120 divisors (see below), whose sum is σ = 1326456768. Its totient is φ = 127353600.

The previous prime is 427367939. The next prime is 427367971. The reversal of 427367952 is 259763724.

It is a junction number, because it is equal to n+sod(n) for n = 427367898 and 427367907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94413 + ... + 98835.

Almost surely, 2427367952 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 427367952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663228384).

427367952 is an abundant number, since it is smaller than the sum of its proper divisors (899088816).

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

427367952 is a wasteful number, since it uses less digits than its factorization.

427367952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4500 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 427367952 is about 20672.8796252481. The cubic root of 427367952 is about 753.2410565614.

The spelling of 427367952 in words is "four hundred twenty-seven million, three hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1342 1464 1584 2013 2196 2684 2928 4026 4392 4423 5368 6039 8052 8784 8846 10736 12078 13269 16104 17692 24156 26538 32208 35384 39807 48312 48653 53076 70768 79614 96624 97306 106152 145959 159228 194612 212304 269803 291918 318456 389224 437877 539606 583836 636912 778448 809409 875754 1079212 1167672 1618818 1751508 2158424 2335344 2428227 2967833 3237636 3503016 4316848 4856454 5935666 6475272 7006032 8903499 9712908 11871332 12950544 17806998 19425816 23742664 26710497 35613996 38851632 47485328 53420994 71227992 106841988 142455984 213683976 427367952