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5435424 = 2536233
BaseRepresentation
bin10100101111000000100000
3101020011000000
4110233000200
52342413144
6312300000
764125501
oct24570040
911204000
105435424
113082795
1219a1600
131184037
14a16ba8
15725769
hex52f020

5435424 has 84 divisors (see below), whose sum is σ = 16113006. Its totient is φ = 1804032.

The previous prime is 5435401. The next prime is 5435431. The reversal of 5435424 is 4245345.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 291600 = 2268^2 + 540^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23212 + ... + 23444.

Almost surely, 25435424 is an apocalyptic number.

5435424 is a gapful number since it is divisible by the number (54) 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 5435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056503).

5435424 is an abundant number, since it is smaller than the sum of its proper divisors (10677582).

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

5435424 is an equidigital number, since it uses as much as digits as its factorization.

5435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 5435424 is about 2331.3995796517. The cubic root of 5435424 is about 175.8238595905.

The spelling of 5435424 in words is "five million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 233 243 288 324 432 466 486 648 699 729 864 932 972 1296 1398 1458 1864 1944 2097 2592 2796 2916 3728 3888 4194 5592 5832 6291 7456 7776 8388 11184 11664 12582 16776 18873 22368 23328 25164 33552 37746 50328 56619 67104 75492 100656 113238 150984 169857 201312 226476 301968 339714 452952 603936 679428 905904 1358856 1811808 2717712 5435424