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4374816 = 253199229
BaseRepresentation
bin10000101100000100100000
322020021010020
4100230010200
52104443231
6233433440
752120365
oct20540440
98207106
104374816
112518956
12156b880
13ba2364
1481c46c
155b6396
hex42c120

4374816 has 48 divisors (see below), whose sum is σ = 11592000. Its totient is φ = 1444608.

The previous prime is 4374809. The next prime is 4374829. The reversal of 4374816 is 6184734.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18990 + ... + 19218.

It is an arithmetic number, because the mean of its divisors is an integer number (241500).

Almost surely, 24374816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796000).

4374816 is an abundant number, since it is smaller than the sum of its proper divisors (7217184).

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

4374816 is a wasteful number, since it uses less digits than its factorization.

4374816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 4374816 is about 2091.6060814599. The cubic root of 4374816 is about 163.5510226156.

It can be divided in two parts, 437 and 4816, that added together give a triangular number (5253 = T102).

The spelling of 4374816 in words is "four million, three hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 229 398 458 597 687 796 916 1194 1374 1592 1832 2388 2748 3184 3664 4776 5496 6368 7328 9552 10992 19104 21984 45571 91142 136713 182284 273426 364568 546852 729136 1093704 1458272 2187408 4374816