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4645387320 = 2335723112393
BaseRepresentation
bin1000101001110001…
…01111110000111000
3102222202010010102020
410110320233300320
534003204343240
62044542434440
7223055066160
oct42470576070
912882103366
104645387320
111a74222282
12a97892a20
1359054bcc2
14320d535a0
151c2c5b0d0
hex114e2fc38

4645387320 has 128 divisors (see below), whose sum is σ = 15940592640. Its totient is φ = 1060899840.

The previous prime is 4645387319. The next prime is 4645387379. The reversal of 4645387320 is 237835464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940044 + ... + 1942436.

It is an arithmetic number, because the mean of its divisors is an integer number (124535880).

Almost surely, 24645387320 is an apocalyptic number.

4645387320 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 4645387320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970296320).

4645387320 is an abundant number, since it is smaller than the sum of its proper divisors (11295205320).

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

4645387320 is a wasteful number, since it uses less digits than its factorization.

4645387320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 4645387320 is about 68157.0782824499. The cubic root of 4645387320 is about 1668.5554482051. Note that the first 3 decimals are identical.

The spelling of 4645387320 in words is "four billion, six hundred forty-five million, three hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2311 2393 4622 4786 6933 7179 9244 9572 11555 11965 13866 14358 16177 16751 18488 19144 23110 23930 27732 28716 32354 33502 34665 35895 46220 47860 48531 50253 55464 57432 64708 67004 69330 71790 80885 83755 92440 95720 97062 100506 129416 134008 138660 143580 161770 167510 194124 201012 242655 251265 277320 287160 323540 335020 388248 402024 485310 502530 647080 670040 970620 1005060 1941240 2010120 5530223 11060446 16590669 22120892 27651115 33181338 38711561 44241784 55302230 66362676 77423122 82953345 110604460 116134683 132725352 154846244 165906690 193557805 221208920 232269366 309692488 331813380 387115610 464538732 580673415 663626760 774231220 929077464 1161346830 1548462440 2322693660 4645387320