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7428468 = 22319311051
BaseRepresentation
bin11100010101100101110100
3111222101221110
4130111211310
53400202333
6423115020
7120066225
oct34254564
914871843
107428468
114214133
1225a2a70
131701258
14db524c
159bb063
hex715974

7428468 has 48 divisors (see below), whose sum is σ = 18851840. Its totient is φ = 2268000.

The previous prime is 7428461. The next prime is 7428469. The reversal of 7428468 is 8648247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428461) 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, 6543 + ... + 7593.

Almost surely, 27428468 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 7428468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425920).

7428468 is an abundant number, since it is smaller than the sum of its proper divisors (11423372).

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

7428468 is a wasteful number, since it uses less digits than its factorization.

7428468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 7428468 is about 2725.5216014554. The cubic root of 7428468 is about 195.1190857084.

The spelling of 7428468 in words is "seven million, four hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1051 1178 1767 2102 2356 3153 3534 4204 6306 7068 12612 19969 32581 39938 59907 65162 79876 97743 119814 130324 195486 239628 390972 619039 1238078 1857117 2476156 3714234 7428468