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52022516 = 227213171201
BaseRepresentation
bin1100011001110…
…0110011110100
310121220000110212
43012130303310
5101304210031
65055004552
71201120100
oct306346364
9117800425
1052022516
1127402317
1215509758
13aa15b70
146ca2900
15487912b
hex319ccf4

52022516 has 72 divisors (see below), whose sum is σ = 120858696. Its totient is φ = 19353600.

The previous prime is 52022497. The next prime is 52022603. The reversal of 52022516 is 61522025.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 51984100 = 196^2 + 7210^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52022491 and 52022500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42716 + ... + 43916.

It is an arithmetic number, because the mean of its divisors is an integer number (1678593).

Almost surely, 252022516 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 52022516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60429348).

52022516 is an abundant number, since it is smaller than the sum of its proper divisors (68836180).

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

52022516 is a wasteful number, since it uses less digits than its factorization.

52022516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 52022516 is about 7212.6635856665. The cubic root of 52022516 is about 373.3049804857.

The spelling of 52022516 in words is "fifty-two million, twenty-two thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1201 1274 1547 1666 2402 2548 3094 3332 4804 6188 8407 10829 15613 16814 20417 21658 31226 33628 40834 43316 58849 62452 81668 109291 117698 142919 218582 235396 265421 285838 437164 530842 571676 765037 1000433 1061684 1530074 1857947 2000866 3060148 3715894 4001732 7431788 13005629 26011258 52022516