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52861440 = 29356883
BaseRepresentation
bin1100100110100…
…1101000000000
310200110122021010
43021221220000
5102013031230
65125000520
71211212662
oct311515000
9120418233
1052861440
1127925645
1215853140
13ac4a978
147040532
1549929b0
hex3269a00

52861440 has 80 divisors (see below), whose sum is σ = 169015968. Its totient is φ = 14094336.

The previous prime is 52861433. The next prime is 52861447. The reversal of 52861440 is 4416825.

It is an interprime number because it is at equal distance from previous prime (52861433) and next prime (52861447).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52861398 and 52861407.

It is not an unprimeable number, because it can be changed into a prime (52861447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4239 + ... + 11121.

Almost surely, 252861440 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 52861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84507984).

52861440 is an abundant number, since it is smaller than the sum of its proper divisors (116154528).

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

52861440 is an equidigital number, since it uses as much as digits as its factorization.

52861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52861440 is about 7270.5873215305. The cubic root of 52861440 is about 375.3009495249.

It can be divided in two parts, 52861 and 440, that added together give a triangular number (53301 = T326).

The spelling of 52861440 in words is "fifty-two million, eight hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6883 7680 13766 20649 27532 34415 41298 55064 68830 82596 103245 110128 137660 165192 206490 220256 275320 330384 412980 440512 550640 660768 825960 881024 1101280 1321536 1651920 1762048 2202560 2643072 3303840 3524096 4405120 5286144 6607680 8810240 10572288 13215360 17620480 26430720 52861440