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723425856 = 263103157233
BaseRepresentation
bin101011000111101…
…001101001000000
31212102020211201020
4223013221221000
52440144111411
6155441305440
723633006166
oct5307515100
91772224636
10723425856
1134139a60a
12182335280
13b6b51c4a
146c115236
154379d606
hex2b1e9a40

723425856 has 112 divisors (see below), whose sum is σ = 1953304704. Its totient is φ = 236261376.

The previous prime is 723425809. The next prime is 723425869. The reversal of 723425856 is 658524327.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3104716 + ... + 3104948.

Almost surely, 2723425856 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 723425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976652352).

723425856 is an abundant number, since it is smaller than the sum of its proper divisors (1229878848).

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

723425856 is a wasteful number, since it uses less digits than its factorization.

723425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 723425856 is about 26896.5770312878. The cubic root of 723425856 is about 897.7002420449.

The spelling of 723425856 in words is "seven hundred twenty-three million, four hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 157 192 206 233 309 314 412 466 471 618 628 699 824 932 942 1236 1256 1398 1648 1864 1884 2472 2512 2796 3296 3728 3768 4944 5024 5592 6592 7456 7536 9888 10048 11184 14912 15072 16171 19776 22368 23999 30144 32342 36581 44736 47998 48513 64684 71997 73162 95996 97026 109743 129368 143994 146324 191992 194052 219486 258736 287988 292648 383984 388104 438972 517472 575976 585296 767968 776208 877944 1034944 1151952 1170592 1535936 1552416 1755888 2303904 2341184 3104832 3511776 3767843 4607808 7023552 7535686 11303529 15071372 22607058 30142744 45214116 60285488 90428232 120570976 180856464 241141952 361712928 723425856