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4572480 = 263511433
BaseRepresentation
bin10001011100010101000000
322121022021010
4101130111000
52132304410
6242000520
753602563
oct21342500
98538233
104572480
112643410
121646140
13c41313
148704da
15604c20
hex45c540

4572480 has 112 divisors (see below), whose sum is σ = 15873984. Its totient is φ = 1105920.

The previous prime is 4572437. The next prime is 4572487. The reversal of 4572480 is 842754.

4572480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4572487) 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, 10344 + ... + 10776.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 24572480 is an apocalyptic number.

4572480 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 4572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992).

4572480 is an abundant number, since it is smaller than the sum of its proper divisors (11301504).

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

4572480 is a wasteful number, since it uses less digits than its factorization.

4572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4572480 is about 2138.3358015055. The cubic root of 4572480 is about 165.9780297047.

The spelling of 4572480 in words is "four million, five hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 433 440 480 528 660 704 866 880 960 1056 1299 1320 1732 1760 2112 2165 2598 2640 3464 3520 4330 4763 5196 5280 6495 6928 8660 9526 10392 10560 12990 13856 14289 17320 19052 20784 23815 25980 27712 28578 34640 38104 41568 47630 51960 57156 69280 71445 76208 83136 95260 103920 114312 138560 142890 152416 190520 207840 228624 285780 304832 381040 415680 457248 571560 762080 914496 1143120 1524160 2286240 4572480