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672873312 = 253291012393
BaseRepresentation
bin101000000110110…
…011101101100000
31201220010111122210
4220012303231200
52334223421222
6150434002120
722450220526
oct5006635540
91656114583
10672873312
11315901751
12169416340
13a95321b7
1465516316
153e114d0c
hex281b3b60

672873312 has 96 divisors (see below), whose sum is σ = 1846061280. Its totient is φ = 214323200.

The previous prime is 672873307. The next prime is 672873317. The reversal of 672873312 is 213378276.

It is an interprime number because it is at equal distance from previous prime (672873307) and next prime (672873317).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672873317) 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, 279988 + ... + 282380.

It is an arithmetic number, because the mean of its divisors is an integer number (19229805).

Almost surely, 2672873312 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 672873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923030640).

672873312 is an abundant number, since it is smaller than the sum of its proper divisors (1173187968).

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

672873312 is a wasteful number, since it uses less digits than its factorization.

672873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2528 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 672873312 is about 25939.8016954641. The cubic root of 672873312 is about 876.2830969256.

The spelling of 672873312 in words is "six hundred seventy-two million, eight hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 101 116 174 202 232 303 348 404 464 606 696 808 928 1212 1392 1616 2393 2424 2784 2929 3232 4786 4848 5858 7179 8787 9572 9696 11716 14358 17574 19144 23432 28716 35148 38288 46864 57432 69397 70296 76576 93728 114864 138794 140592 208191 229728 241693 277588 281184 416382 483386 555176 725079 832764 966772 1110352 1450158 1665528 1933544 2220704 2900316 3331056 3867088 5800632 6662112 7009097 7734176 11601264 14018194 21027291 23202528 28036388 42054582 56072776 84109164 112145552 168218328 224291104 336436656 672873312