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421453032 = 2337111353331
BaseRepresentation
bin11001000111101…
…101110011101000
31002101001000212120
4121013231303220
51330342444112
6105453111240
713305202020
oct3107556350
91071030776
10421453032
111a69989a0
12b9188520
13694131c0
143dd8aa80
1526eeee8c
hex191edce8

421453032 has 256 divisors, whose sum is σ = 1445713920. Its totient is φ = 98841600.

The previous prime is 421452953. The next prime is 421453033. The reversal of 421453032 is 230354124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 421452993 and 421453011.

It is not an unprimeable number, because it can be changed into a prime (421453033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1273107 + ... + 1273437.

It is an arithmetic number, because the mean of its divisors is an integer number (5647320).

Almost surely, 2421453032 is an apocalyptic number.

421453032 is a gapful number since it is divisible by the number (42) 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 421453032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722856960).

421453032 is an abundant number, since it is smaller than the sum of its proper divisors (1024260888).

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

421453032 is a wasteful number, since it uses less digits than its factorization.

421453032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 421453032 is about 20529.3212747037. The cubic root of 421453032 is about 749.7498614725.

It can be divided in two parts, 42 and 1453032, that multiplied together give a square (61027344 = 78122).

The spelling of 421453032 in words is "four hundred twenty-one million, four hundred fifty-three thousand, thirty-two".