Search a number
-
+
427253632 = 2713219751
BaseRepresentation
bin11001011101110…
…101111110000000
31002202221201210121
4121131311332000
51333334104012
6110221310024
713405411261
oct3135657600
91082851717
10427253632
111aa19aa83
12bb105314
136a694500
1440a5a968
1527798a07
hex19775f80

427253632 has 48 divisors (see below), whose sum is σ = 921727080. Its totient is φ = 197184000.

The previous prime is 427253621. The next prime is 427253653. The reversal of 427253632 is 236352724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11757 + ... + 31507.

Almost surely, 2427253632 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 427253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460863540).

427253632 is an abundant number, since it is smaller than the sum of its proper divisors (494473448).

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

427253632 is a wasteful number, since it uses less digits than its factorization.

427253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19791 (or 19766 counting only the distinct ones).

The product of its digits is 60480, while the sum is 34.

The square root of 427253632 is about 20670.1144650919. The cubic root of 427253632 is about 753.1738871223.

The spelling of 427253632 in words is "four hundred twenty-seven million, two hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 19751 21632 39502 79004 158008 256763 316016 513526 632032 1027052 1264064 2054104 2528128 3337919 4108208 6675838 8216416 13351676 16432832 26703352 32865664 53406704 106813408 213626816 427253632