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5429632 = 27132251
BaseRepresentation
bin10100101101100110000000
3101012212001111
4110231212000
52342222012
6312213104
764102555
oct24554600
911185044
105429632
1130793aa
12199a194
131181500
14a14a2c
15723ba7
hex52d980

5429632 has 48 divisors (see below), whose sum is σ = 11759580. Its totient is φ = 2496000.

The previous prime is 5429629. The next prime is 5429651. The reversal of 5429632 is 2369245.

It is a junction number, because it is equal to n+sod(n) for n = 5429594 and 5429603.

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, 21507 + ... + 21757.

Almost surely, 25429632 is an apocalyptic number.

5429632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879790).

5429632 is an abundant number, since it is smaller than the sum of its proper divisors (6329948).

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

5429632 is a wasteful number, since it uses less digits than its factorization.

5429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 266 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 5429632 is about 2330.1570762504. The cubic root of 5429632 is about 175.7613846278.

The spelling of 5429632 in words is "five million, four hundred twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 251 338 416 502 676 832 1004 1352 1664 2008 2704 3263 4016 5408 6526 8032 10816 13052 16064 21632 26104 32128 42419 52208 84838 104416 169676 208832 339352 417664 678704 1357408 2714816 5429632