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421164744 = 2337111347373
BaseRepresentation
bin11001000110100…
…111011011001000
31002100111101102020
4121012213123020
51330304232434
6105443004440
713302561360
oct3106473310
91070441366
10421164744
111a6811340
12b9069720
1369341c10
143dd139a0
1526e94849
hex191a76c8

421164744 has 256 divisors, whose sum is σ = 1447649280. Its totient is φ = 98565120.

The previous prime is 421164719. The next prime is 421164763. The reversal of 421164744 is 447461124.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1128942 + ... + 1129314.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2421164744 is an apocalyptic number.

421164744 is a gapful number since it is divisible by the number (44) 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 421164744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723824640).

421164744 is an abundant number, since it is smaller than the sum of its proper divisors (1026484536).

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

421164744 is a wasteful number, since it uses less digits than its factorization.

421164744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 421164744 is about 20522.2987016562. The cubic root of 421164744 is about 749.5788711338.

The spelling of 421164744 in words is "four hundred twenty-one million, one hundred sixty-four thousand, seven hundred forty-four".