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52861464 = 23334147127
BaseRepresentation
bin1100100110100…
…1101000011000
310200110122022000
43021221220120
5102013031324
65125001000
71211213025
oct311515030
9120418260
1052861464
1127925667
1215853160
13ac4a996
14704054c
1549929c9
hex3269a18

52861464 has 128 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 16692480.

The previous prime is 52861451. The next prime is 52861469. The reversal of 52861464 is 46416825.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52861469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416169 + ... + 416295.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 252861464 is an apocalyptic number.

52861464 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 52861464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

52861464 is an abundant number, since it is smaller than the sum of its proper divisors (101967336).

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

52861464 is a wasteful number, since it uses less digits than its factorization.

52861464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 52861464 is about 7270.5889720160. The cubic root of 52861464 is about 375.3010063225.

The spelling of 52861464 in words is "fifty-two million, eight hundred sixty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 47 54 72 82 94 108 123 127 141 164 188 216 246 254 282 328 369 376 381 423 492 508 564 738 762 846 984 1016 1107 1128 1143 1269 1476 1524 1692 1927 2214 2286 2538 2952 3048 3384 3429 3854 4428 4572 5076 5207 5781 5969 6858 7708 8856 9144 10152 10414 11562 11938 13716 15416 15621 17343 17907 20828 23124 23876 27432 31242 34686 35814 41656 46248 46863 47752 52029 53721 62484 69372 71628 93726 104058 107442 124968 138744 140589 143256 161163 187452 208116 214884 244729 281178 322326 374904 416232 429768 489458 562356 644652 734187 978916 1124712 1289304 1468374 1957832 2202561 2936748 4405122 5873496 6607683 8810244 13215366 17620488 26430732 52861464