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2794464 = 253231313
BaseRepresentation
bin1010101010001111100000
312020222021200
422222033200
51203410324
6135521200
732516061
oct12521740
95228250
102794464
111639582
12b29200
1376ac3a
1452a568
153a2ec9
hex2aa3e0

2794464 has 72 divisors (see below), whose sum is σ = 8229312. Its totient is φ = 898560.

The previous prime is 2794457. The next prime is 2794481. The reversal of 2794464 is 4644972.

2794464 is digitally balanced in base 5, 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 73 + 9 + 44 + 48 + 68 + 410 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8772 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (114296).

22794464 is an apocalyptic number.

2794464 is a gapful number since it is divisible by the number (24) 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 2794464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114656).

2794464 is an abundant number, since it is smaller than the sum of its proper divisors (5434848).

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

2794464 is a wasteful number, since it uses less digits than its factorization.

2794464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2794464 is about 1671.6650382179. The cubic root of 2794464 is about 140.8530232460.

It can be divided in two parts, 279 and 4464, that multiplied together give a square (1245456 = 11162).

The spelling of 2794464 in words is "two million, seven hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 313 372 496 558 626 744 939 992 1116 1252 1488 1878 2232 2504 2817 2976 3756 4464 5008 5634 7512 8928 9703 10016 11268 15024 19406 22536 29109 30048 38812 45072 58218 77624 87327 90144 116436 155248 174654 232872 310496 349308 465744 698616 931488 1397232 2794464