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4145472 = 26332399
BaseRepresentation
bin1111110100000101000000
321210121112000
433310011000
52030123342
6224504000
750143632
oct17640500
97717460
104145472
112381611
12147b000
13b21b56
1479ca52
1556d44c
hex3f4140

4145472 has 56 divisors (see below), whose sum is σ = 12192000. Its totient is φ = 1381248.

The previous prime is 4145459. The next prime is 4145473. The reversal of 4145472 is 2745414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529 + ... + 2927.

Almost surely, 24145472 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 4145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096000).

4145472 is an abundant number, since it is smaller than the sum of its proper divisors (8046528).

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

4145472 is a wasteful number, since it uses less digits than its factorization.

4145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2404 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 4145472 is about 2036.0432215452. The cubic root of 4145472 is about 160.6415904881.

It can be divided in two parts, 414 and 5472, that added together give a triangular number (5886 = T108).

The spelling of 4145472 in words is "four million, one hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2399 4798 7197 9596 14394 19192 21591 28788 38384 43182 57576 64773 76768 86364 115152 129546 153536 172728 230304 259092 345456 460608 518184 690912 1036368 1381824 2072736 4145472