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801467472 = 243134013203
BaseRepresentation
bin101111110001010…
…110110001010000
32001212002202200110
4233301112301100
53120133424342
6211310121320
725601234601
oct5761266120
92055082613
10801467472
11381453413
121a44b0240
13ca077b10
147862bda8
154a566c9c
hex2fc56c50

801467472 has 80 divisors (see below), whose sum is σ = 2235981888. Its totient is φ = 245913600.

The previous prime is 801467449. The next prime is 801467473. The reversal of 801467472 is 274764108.

801467472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 801467472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801467473) 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, 248623 + ... + 251825.

Almost surely, 2801467472 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 801467472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117990944).

801467472 is an abundant number, since it is smaller than the sum of its proper divisors (1434514416).

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

801467472 is a wasteful number, since it uses less digits than its factorization.

801467472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 801467472 is about 28310.2008470445. The cubic root of 801467472 is about 928.8850368125.

The spelling of 801467472 in words is "eight hundred one million, four hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 401 624 802 1203 1604 2406 3203 3208 4812 5213 6406 6416 9609 9624 10426 12812 15639 19218 19248 20852 25624 31278 38436 41639 41704 51248 62556 76872 83278 83408 124917 125112 153744 166556 249834 250224 333112 499668 666224 999336 1284403 1998672 2568806 3853209 5137612 7706418 10275224 15412836 16697239 20550448 30825672 33394478 50091717 61651344 66788956 100183434 133577912 200366868 267155824 400733736 801467472