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421552240 = 24519463599
BaseRepresentation
bin11001001000000…
…110000001110000
31002101020001221221
4121020012001300
51330404132430
6105455154424
713306064164
oct3110060160
91071201857
10421552240
111a6a5648a
12b9215a14
13694493c5
143ddb4ca4
152701e57a
hex19206070

421552240 has 80 divisors (see below), whose sum is σ = 1035648000. Its totient is φ = 159134976.

The previous prime is 421552231. The next prime is 421552249. The reversal of 421552240 is 42255124.

It is an interprime number because it is at equal distance from previous prime (421552231) and next prime (421552249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421552249) 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, 703461 + ... + 704059.

It is an arithmetic number, because the mean of its divisors is an integer number (12945600).

Almost surely, 2421552240 is an apocalyptic number.

421552240 is a gapful number since it is divisible by the number (40) 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 421552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824000).

421552240 is an abundant number, since it is smaller than the sum of its proper divisors (614095760).

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

421552240 is a wasteful number, since it uses less digits than its factorization.

421552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 421552240 is about 20531.7373838650. The cubic root of 421552240 is about 749.8086860176.

The spelling of 421552240 in words is "four hundred twenty-one million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 463 599 760 926 1198 1520 1852 2315 2396 2995 3704 4630 4792 5990 7408 8797 9260 9584 11381 11980 17594 18520 22762 23960 35188 37040 43985 45524 47920 56905 70376 87970 91048 113810 140752 175940 182096 227620 277337 351880 455240 554674 703760 910480 1109348 1386685 2218696 2773370 4437392 5269403 5546740 10538806 11093480 21077612 22186960 26347015 42155224 52694030 84310448 105388060 210776120 421552240