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831417472 = 2729673343
BaseRepresentation
bin110001100011100…
…110110010000000
32010221110101100201
4301203212302000
53200320324342
6214300054544
726413634434
oct6143466200
92127411321
10831417472
1139734a286
121b2534454
13103333102
147c5c69c4
154ced0db7
hex318e6c80

831417472 has 64 divisors (see below), whose sum is σ = 1739548800. Its totient is φ = 395265024.

The previous prime is 831417463. The next prime is 831417481. The reversal of 831417472 is 274714138.

It is an interprime number because it is at equal distance from previous prime (831417463) and next prime (831417481).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247033 + ... + 250375.

It is an arithmetic number, because the mean of its divisors is an integer number (27180450).

Almost surely, 2831417472 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 831417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869774400).

831417472 is an abundant number, since it is smaller than the sum of its proper divisors (908131328).

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

831417472 is a wasteful number, since it uses less digits than its factorization.

831417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3441 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 831417472 is about 28834.3106732240. The cubic root of 831417472 is about 940.3143177023.

The spelling of 831417472 in words is "eight hundred thirty-one million, four hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 268 464 536 928 1072 1856 1943 2144 3343 3712 3886 4288 6686 7772 8576 13372 15544 26744 31088 53488 62176 96947 106976 124352 193894 213952 223981 248704 387788 427904 447962 775576 895924 1551152 1791848 3102304 3583696 6204608 6495449 7167392 12409216 12990898 14334784 25981796 28669568 51963592 103927184 207854368 415708736 831417472