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52434828 = 223279103179
BaseRepresentation
bin1100100000000…
…1011110001100
310122122222001200
43020001132030
5101410403303
65111505500
71204455135
oct310013614
9118588050
1052434828
1127664076
1215688290
13ab2b734
146d6cc8c
15490b3a3
hex320178c

52434828 has 72 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 16994016.

The previous prime is 52434799. The next prime is 52434829. The reversal of 52434828 is 82843425.

It is a super-2 number, since 2×524348282 = 5498822374779168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52434792 and 52434801.

It is not an unprimeable number, because it can be changed into a prime (52434829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292843 + ... + 293021.

It is an arithmetic number, because the mean of its divisors is an integer number (1892800).

Almost surely, 252434828 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 52434828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

52434828 is an abundant number, since it is smaller than the sum of its proper divisors (83846772).

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

52434828 is a wasteful number, since it uses less digits than its factorization.

52434828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 366 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 52434828 is about 7241.1896812609. The cubic root of 52434828 is about 374.2886139999.

The spelling of 52434828 in words is "fifty-two million, four hundred thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 103 158 179 206 237 309 316 358 412 474 537 618 711 716 927 948 1074 1236 1422 1611 1854 2148 2844 3222 3708 6444 8137 14141 16274 18437 24411 28282 32548 36874 42423 48822 55311 56564 73233 73748 84846 97644 110622 127269 146466 165933 169692 221244 254538 292932 331866 509076 663732 1456523 2913046 4369569 5826092 8739138 13108707 17478276 26217414 52434828