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4013545440 = 253512765839
BaseRepresentation
bin1110111100111001…
…1101011111100000
3101100201012020022010
43233032131133200
531204431423230
61502132112520
7201313400442
oct35716353740
911321166263
104013545440
11177a5a6103
12940165740
134bc684c78
142a107c492
1518754d9b0
hexef39d7e0

4013545440 has 96 divisors (see below), whose sum is σ = 12742410240. Its totient is φ = 1061835264.

The previous prime is 4013545433. The next prime is 4013545463. The reversal of 4013545440 is 445453104.

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

It is a super-2 number, since 2×40135454402 = 32217093997889587200, 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 = 4013545398 and 4013545407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28041 + ... + 93879.

It is an arithmetic number, because the mean of its divisors is an integer number (132733440).

Almost surely, 24013545440 is an apocalyptic number.

4013545440 is a gapful number since it is divisible by the number (40) 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 4013545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371205120).

4013545440 is an abundant number, since it is smaller than the sum of its proper divisors (8728864800).

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

4013545440 is a wasteful number, since it uses less digits than its factorization.

4013545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65984 (or 65976 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4013545440 is about 63352.5488042904. The cubic root of 4013545440 is about 1589.1908703050.

Adding to 4013545440 its reverse (445453104), we get a palindrome (4458998544).

The spelling of 4013545440 in words is "four billion, thirteen million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960 65839 131678 197517 263356 329195 395034 526712 658390 790068 987585 1053424 1316780 1580136 1975170 2106848 2633560 3160272 3950340 5267120 6320544 7900680 8361553 10534240 15801360 16723106 25084659 31602720 33446212 41807765 50169318 66892424 83615530 100338636 125423295 133784848 167231060 200677272 250846590 267569696 334462120 401354544 501693180 668924240 802709088 1003386360 1337848480 2006772720 4013545440