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676972416 = 2733834603
BaseRepresentation
bin101000010110011…
…100011110000000
31202011211202120110
4220112130132000
52341301104131
6151101511320
722530112341
oct5026343600
91664752513
10676972416
1131815143a
1216a872540
13aa338bc3
1465ca20c8
153e674646
hex2859c780

676972416 has 64 divisors (see below), whose sum is σ = 1803294720. Its totient is φ = 225019392.

The previous prime is 676972391. The next prime is 676972441. The reversal of 676972416 is 614279676.

It is an interprime number because it is at equal distance from previous prime (676972391) and next prime (676972441).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 144771 + ... + 149373.

It is an arithmetic number, because the mean of its divisors is an integer number (28176480).

Almost surely, 2676972416 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 676972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901647360).

676972416 is an abundant number, since it is smaller than the sum of its proper divisors (1126322304).

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

676972416 is a wasteful number, since it uses less digits than its factorization.

676972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4991 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 676972416 is about 26018.6935874959. The cubic root of 676972416 is about 878.0589171465.

The spelling of 676972416 in words is "six hundred seventy-six million, nine hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 383 384 766 1149 1532 2298 3064 4596 4603 6128 9192 9206 12256 13809 18384 18412 24512 27618 36768 36824 49024 55236 73536 73648 110472 147072 147296 220944 294592 441888 589184 883776 1762949 1767552 3525898 5288847 7051796 10577694 14103592 21155388 28207184 42310776 56414368 84621552 112828736 169243104 225657472 338486208 676972416