Search a number
-
+
4390368 = 253192983
BaseRepresentation
bin10000101111110111100000
322021001110020
4100233313200
52110442433
6234033440
752213623
oct20576740
98231406
104390368
112529604
121578880
13ba9468
14823dba
155bacb3
hex42fde0

4390368 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1322496.

The previous prime is 4390357. The next prime is 4390381. The reversal of 4390368 is 8630934.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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, 52855 + ... + 52937.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 24390368 is an apocalyptic number.

4390368 is a gapful number since it is divisible by the number (48) 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 4390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4390368 is an abundant number, since it is smaller than the sum of its proper divisors (8310432).

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

4390368 is a wasteful number, since it uses less digits than its factorization.

4390368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4390368 is about 2095.3205005440. The cubic root of 4390368 is about 163.7445955134.

The spelling of 4390368 in words is "four million, three hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 83 87 96 114 116 152 166 174 228 232 249 304 332 348 456 464 498 551 608 664 696 912 928 996 1102 1328 1392 1577 1653 1824 1992 2204 2407 2656 2784 3154 3306 3984 4408 4731 4814 6308 6612 7221 7968 8816 9462 9628 12616 13224 14442 17632 18924 19256 25232 26448 28884 37848 38512 45733 50464 52896 57768 75696 77024 91466 115536 137199 151392 182932 231072 274398 365864 548796 731728 1097592 1463456 2195184 4390368