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4712880 = 243573269
BaseRepresentation
bin10001111110100110110000
322212102212010
4101332212300
52201303010
6245002520
755026114
oct21764660
98772763
104712880
112729947
1216b3440
13c901b3
148a9744
15631620
hex47e9b0

4712880 has 80 divisors (see below), whose sum is σ = 14865120. Its totient is φ = 1234944.

The previous prime is 4712863. The next prime is 4712933. The reversal of 4712880 is 882174.

4712880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×47128802 = 44422475788800, which contains 22 as substring.

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

It is an Ulam 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, 17386 + ... + 17654.

It is an arithmetic number, because the mean of its divisors is an integer number (185814).

Almost surely, 24712880 is an apocalyptic number.

4712880 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 4712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432560).

4712880 is an abundant number, since it is smaller than the sum of its proper divisors (10152240).

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

4712880 is a wasteful number, since it uses less digits than its factorization.

4712880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 4712880 is about 2170.9168569984. The cubic root of 4712880 is about 167.6597421650.

The spelling of 4712880 in words is "four million, seven hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 269 292 365 438 538 584 730 807 876 1076 1095 1168 1345 1460 1614 1752 2152 2190 2690 2920 3228 3504 4035 4304 4380 5380 5840 6456 8070 8760 10760 12912 16140 17520 19637 21520 32280 39274 58911 64560 78548 98185 117822 157096 196370 235644 294555 314192 392740 471288 589110 785480 942576 1178220 1570960 2356440 4712880