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399742848 = 2732353983
BaseRepresentation
bin10111110100111…
…001011110000000
31000212012001002200
4113310321132000
51304313232343
6103355513200
712622521021
oct2764713600
91025161080
10399742848
1119570a79a
12b1a58800
1364a8153b
143b138c48
15251624d3
hex17d39780

399742848 has 96 divisors (see below), whose sum is σ = 1154733840. Its totient is φ = 132734976.

The previous prime is 399742841. The next prime is 399742859. The reversal of 399742848 is 848247993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3997428482 = 319588689054302208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 399742794 and 399742803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399742841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406165 + ... + 407147.

Almost surely, 2399742848 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 399742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577366920).

399742848 is an abundant number, since it is smaller than the sum of its proper divisors (754990992).

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

399742848 is a wasteful number, since it uses less digits than its factorization.

399742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 399742848 is about 19993.5701664310. The cubic root of 399742848 is about 736.6483732026.

The spelling of 399742848 in words is "three hundred ninety-nine million, seven hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 353 384 576 706 983 1059 1152 1412 1966 2118 2824 2949 3177 3932 4236 5648 5898 6354 7864 8472 8847 11296 11796 12708 15728 16944 17694 22592 23592 25416 31456 33888 35388 45184 47184 50832 62912 67776 70776 94368 101664 125824 135552 141552 188736 203328 283104 346999 377472 406656 566208 693998 1040997 1132416 1387996 2081994 2775992 3122991 4163988 5551984 6245982 8327976 11103968 12491964 16655952 22207936 24983928 33311904 44415872 49967856 66623808 99935712 133247616 199871424 399742848