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5434832 = 2413172953
BaseRepresentation
bin10100101110110111010000
3101020010012002
4110232313100
52342403312
6312253132
764123664
oct24566720
911203162
105434832
1130822a7
1219a11a8
1311839a0
14a168a4
157254c2
hex52edd0

5434832 has 80 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 2236416.

The previous prime is 5434829. The next prime is 5434841. The reversal of 5434832 is 2384345.

It can be written as a sum of positive squares in 8 ways, for example, as 33856 + 5400976 = 184^2 + 2324^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (11520) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 5434795 and 5434804.

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, 102518 + ... + 102570.

It is an arithmetic number, because the mean of its divisors is an integer number (158193).

Almost surely, 25434832 is an apocalyptic number.

5434832 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 5434832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

5434832 is an abundant number, since it is smaller than the sum of its proper divisors (7220608).

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

5434832 is a wasteful number, since it uses less digits than its factorization.

5434832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 5434832 is about 2331.2726138313. The cubic root of 5434832 is about 175.8174760650.

The spelling of 5434832 in words is "five million, four hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 29 34 52 53 58 68 104 106 116 136 208 212 221 232 272 377 424 442 464 493 689 754 848 884 901 986 1378 1508 1537 1768 1802 1972 2756 3016 3074 3536 3604 3944 5512 6032 6148 6409 7208 7888 11024 11713 12296 12818 14416 19981 23426 24592 25636 26129 39962 46852 51272 52258 79924 93704 102544 104516 159848 187408 209032 319696 339677 418064 679354 1358708 2717416 5434832