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4764240 = 2432513509
BaseRepresentation
bin10010001011001001010000
322222001022100
4102023021100
52204423430
6250040400
755331625
oct22131120
98861270
104764240
112764498
121719100
13caa6a0
148c034c
15641960
hex48b250

4764240 has 120 divisors (see below), whose sum is σ = 17264520. Its totient is φ = 1170432.

The previous prime is 4764239. The next prime is 4764257. The reversal of 4764240 is 424674.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 4359744 = 636^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9106 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (143871).

Almost surely, 24764240 is an apocalyptic number.

4764240 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 4764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632260).

4764240 is an abundant number, since it is smaller than the sum of its proper divisors (12500280).

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

4764240 is a wasteful number, since it uses less digits than its factorization.

4764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4764240 is about 2182.7139070432. The cubic root of 4764240 is about 168.2665835623.

The spelling of 4764240 in words is "four million, seven hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 509 520 585 624 720 780 936 1018 1040 1170 1527 1560 1872 2036 2340 2545 3054 3120 4072 4581 4680 5090 6108 6617 7635 8144 9162 9360 10180 12216 13234 15270 18324 19851 20360 22905 24432 26468 30540 33085 36648 39702 40720 45810 52936 59553 61080 66170 73296 79404 91620 99255 105872 119106 122160 132340 158808 183240 198510 238212 264680 297765 317616 366480 397020 476424 529360 595530 794040 952848 1191060 1588080 2382120 4764240