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403290048 = 26371719929
BaseRepresentation
bin11000000010011…
…011011111000000
31001002212020221110
4120002123133000
51311220240143
6104003523320
712664623510
oct3002333700
91032766843
10403290048
11197712867
12b3089540
1365723c85
143b7bd840
1525613533
hex1809b7c0

403290048 has 224 divisors, whose sum is σ = 1360627200. Its totient is φ = 102629376.

The previous prime is 403290001. The next prime is 403290059. The reversal of 403290048 is 840092304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 403289997 and 403290024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433648 + ... + 434576.

Almost surely, 2403290048 is an apocalyptic number.

403290048 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 403290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

403290048 is an abundant number, since it is smaller than the sum of its proper divisors (957337152).

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

403290048 is a wasteful number, since it uses less digits than its factorization.

403290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 403290048 is about 20082.0827605107. The cubic root of 403290048 is about 738.8208931024.

The spelling of 403290048 in words is "four hundred three million, two hundred ninety thousand, forty-eight".