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803621952 = 2633729491
BaseRepresentation
bin101111111001100…
…100110001000000
32002000011020002000
4233321210301000
53121211400302
6211424224000
725625450100
oct5771446100
92060136060
10803621952
11382695081
121a516b000
13ca650663
1478a2d200
154a84031c
hex2fe64c40

803621952 has 168 divisors, whose sum is σ = 2748503520. Its totient is φ = 229582080.

The previous prime is 803621947. The next prime is 803621957. The reversal of 803621952 is 259126308.

It is an interprime number because it is at equal distance from previous prime (803621947) and next prime (803621957).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (803621957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79927 + ... + 89417.

It is an arithmetic number, because the mean of its divisors is an integer number (16360140).

Almost surely, 2803621952 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 803621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374251760).

803621952 is an abundant number, since it is smaller than the sum of its proper divisors (1944881568).

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

803621952 is a wasteful number, since it uses less digits than its factorization.

803621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 803621952 is about 28348.2266112009. The cubic root of 803621952 is about 929.7166254220.

The spelling of 803621952 in words is "eight hundred three million, six hundred twenty-one thousand, nine hundred fifty-two".