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673965952 = 27111737761
BaseRepresentation
bin101000001010111…
…110011110000000
31201222012000110221
4220022332132000
52340013402302
6150513232424
722462421212
oct5012763600
91658160427
10673965952
11316488660
12169862714
13a982562a
146571c5b2
153e27d937
hex282be780

673965952 has 128 divisors (see below), whose sum is σ = 1594896480. Its totient is φ = 280166400.

The previous prime is 673965937. The next prime is 673965953. The reversal of 673965952 is 259569376.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (3061800) is a multiple of the sum of its prime factors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 673965952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673965953) by changing a digit.

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, 885252 + ... + 886012.

Almost surely, 2673965952 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 673965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797448240).

673965952 is an abundant number, since it is smaller than the sum of its proper divisors (920930528).

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

673965952 is a wasteful number, since it uses less digits than its factorization.

673965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 52.

The square root of 673965952 is about 25960.8542232339. The cubic root of 673965952 is about 876.7571555423.

The spelling of 673965952 in words is "six hundred seventy-three million, nine hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 128 136 148 176 187 272 296 352 374 407 544 592 629 704 748 761 814 1088 1184 1258 1408 1496 1522 1628 2176 2368 2516 2992 3044 3256 4736 5032 5984 6088 6512 6919 8371 10064 11968 12176 12937 13024 13838 16742 20128 23936 24352 25874 26048 27676 28157 33484 40256 48704 51748 52096 55352 56314 66968 80512 97408 103496 110704 112628 133936 142307 206992 221408 225256 267872 284614 309727 413984 442816 450512 478669 535744 569228 619454 827968 885632 901024 957338 1071488 1138456 1238908 1655936 1802048 1914676 2276912 2477816 3604096 3829352 4553824 4955632 5265359 7658704 9107648 9911264 10530718 15317408 18215296 19822528 21061436 30634816 39645056 42122872 61269632 84245744 168491488 336982976 673965952