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392257044992 = 298923112
BaseRepresentation
bin1011011010101000101…
…01111000001000000000
31101111111001211111112102
411231110111320020000
522411320300414432
6500111141445532
740224331604111
oct5552425701000
91344431744472
10392257044992
1114139a96a72a
12640321108a8
132acb3436467
1414db1aca208
15a30bc74962
hex5b54578200

392257044992 has 90 divisors (see below), whose sum is σ = 795209984349. Its totient is φ = 193301278720.

The previous prime is 392257044983. The next prime is 392257045001. The reversal of 392257044992 is 299440752293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (392257044983) and next prime (392257045001).

It can be written as a sum of positive squares in 2 ways, for example, as 350634516736 + 41622528256 = 592144^2 + 204016^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=442864.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1261276517 + ... + 1261276827.

Almost surely, 2392257044992 is an apocalyptic number.

392257044992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392257044992

392257044992 is an abundant number, since it is smaller than the sum of its proper divisors (402952939357).

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

392257044992 is an frugal number, since it uses more digits than its factorization.

392257044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 392257044992 in words is "three hundred ninety-two billion, two hundred fifty-seven million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 311 356 512 622 712 1244 1424 2488 2848 4976 5696 7921 9952 11392 15842 19904 22784 27679 31684 39808 45568 55358 63368 79616 96721 110716 126736 159232 193442 221432 253472 386884 442864 506944 773768 885728 1013888 1547536 1771456 2027776 2463431 3095072 3542912 4055552 4926862 6190144 7085824 8608169 9853724 12380288 14171648 17216338 19707448 24760576 34432676 39414896 49521152 68865352 78829792 137730704 157659584 275461408 315319168 550922816 630638336 766127041 1101845632 1261276672 1532254082 2203691264 3064508164 4407382528 6129016328 12258032656 24516065312 49032130624 98064261248 196128522496 392257044992