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53545440 = 2535138581
BaseRepresentation
bin1100110001000…
…0100111100000
310201202101112110
43030100213200
5102201423230
65151355320
71220062104
oct314204740
9121671473
1053545440
1128252533
1215b22b40
13b12a0c0
14717b904
154a7a4b0
hex33109e0

53545440 has 96 divisors (see below), whose sum is σ = 181663776. Its totient is φ = 13178880.

The previous prime is 53545433. The next prime is 53545447. The reversal of 53545440 is 4454535.

It is an interprime number because it is at equal distance from previous prime (53545433) and next prime (53545447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×535454402 = 5734228289587200, which contains 22 as substring.

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 = 53545398 and 53545407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53545447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1950 + ... + 10530.

It is an arithmetic number, because the mean of its divisors is an integer number (1892331).

Almost surely, 253545440 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 53545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90831888).

53545440 is an abundant number, since it is smaller than the sum of its proper divisors (128118336).

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

53545440 is a wasteful number, since it uses less digits than its factorization.

53545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8612 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 53545440 is about 7317.4749743337. The cubic root of 53545440 is about 376.9127515406.

Adding to 53545440 its reverse (4454535), we get a palindrome (57999975).

The spelling of 53545440 in words is "fifty-three million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 8581 17162 25743 34324 42905 51486 68648 85810 102972 111553 128715 137296 171620 205944 223106 257430 274592 334659 343240 411888 446212 514860 557765 669318 686480 823776 892424 1029720 1115530 1338636 1372960 1673295 1784848 2059440 2231060 2677272 3346590 3569696 4118880 4462120 5354544 6693180 8924240 10709088 13386360 17848480 26772720 53545440